So we're gonna check out five best and five worst WWE money in the bank cash-ins WWE money in the bank is coming up. It's the next pay-per-view So, you know, they're gonna have the traditional women's and men's money in the bank ladder match and there have been some fantastic money in a bank cash-ins There's also been some horrible just in my opinion character destruction Cash-ins in WWE. I think we can all agree money in the bank isn't as Important as it should be or as it used to be Anytime someone won money in a bank back in the day when they first created it You knew that person was gonna be the next star up to be one of the top champions and now It's not the same. It doesn't have that same Feel like it used to so we're gonna check this out man Appreciate all the love and support and check this video out man. And let's get right into this thing Briefcases are great. You can keep lots of things in a briefcase files lunch the affection you withhold from your son Which inevitably leads him to try and fail to become an entertainer in his adult years Did I already say lunch and also a contract for a world title match at the time of your choosing money in the bank Remains the most significant addition to WWE in the last 15 years with other wrestling companies getting in on the whole briefcase Equals opportunity visual storytelling and like anything that's been around for 15 years It's had some real highs and lows edges first of a cash-in set a fairly high standard It's been used to execute multiple great heel turns and no matter who remembers that it was after an elimination chamber John Cena Still had his championship blood you battered in blue bruise and then that's when you think you know me He cast in and won the championship. We had the rated R superstar era I like when he changed the belt to his logo. It was oh man He was such a sick hill bro such a sick hill man And it's it's so fitting that he will be facing potentially Roman Reigns at this year's money in the bank Now what you say I cannot dunk on Brock using it as a boom Brock's and shucking and jiving like Friedrich von Oh, yeah, I remember a vanilla ice to celebrate the upcoming paper Slightly different kind of list looking at both the best and the worst cash-ins let us know if you like it or prefer a straight 10 These are the five best and five Cash and while you're here. Did you know you can cash in your subscribe in a bank briefcase if you click subscribe To the video you've cashed in and well done No, well done number Best number five Bailey Bailey is the fucking best as a heel with the most wonderfully obnoxious catch from shout-out to BBB big booty Bailey man Shout-out to BBB man Raise ever or as a baby face genuinely bringing grown-ass humans to tears with her courage and fortitude WWE occasionally forgets about Bailey But she always delivers so it makes sense She'd have one of the most triumphant cash-ins of all time and easily the best of the winner and cash On the same night Brigade sorry Kane. Sorry Alexa. Sorry D Wrestling is at its best when the crowd all furiously chant for one thing and that one thing happens case in point money in the bank 2019 Bailey won the briefcase earlier in the show after WWE had forgotten about her for a bit Then Charlotte beat Becky for the Smackdown belt with the help of her dad's favorite granddaughter Lacey Evans The crowd chanted for Bailey and then out she came baby face baby faces not biding her time not lying in Wait riding in from the east to help a friend an exact righteous vengeance on Charlotte who could have taken a title and gone home But had to be a goddamn flair about it absolutely brilliant and a moment you shall rewatch now I was a good number five Asuka no look Look, it's it's sweet It was a very nice moment of ask it being super happy for Becky at a super nice time But putting all of that empathy to one side giving someone a title belt in wrestling is F***ing bollocks.  All right. I see where he's going with that at this time, I remember Asuka was you know going to be the next person up for the Raw Women's title and Becky Lynch was going away to have a child like she was going away to have a child, you know I said and the fact that She ended up just getting gifted the title was was kind of That that in a sense that doesn't work You know saying any combat sports where you're trying to get a title that that definitely doesn't work So they and street prophets swapping tag belts like Panini stickers Jeff Jarrett giving Mark Henry the European title Cuz he did him a favor or Andre gifting the wingdeagle to DBS You don't buy a title like you would an Emmy win it bastard Which makes it all the more disappointing at the peak of her unpredictable dancer slash murderer split personality phase was just Handed the title in a gift bag after leaving Becky's impromptu baby shower prove positive of two things one that children are the worst They take every good thing from us and to money in a bank 2020 was f***ing cursed as Otis would turn his briefcase into a lunchbox Lose both it and his best friend to the miz who would then cash in what's possibly the least effectual Successful cash in ever losing the title to bungler's lollipop after only eight days. Yeah, this is Randy Orton oh WWE how you play with our emotions the money the bank briefcase is one of WWE's favorite ways of giving the fan something and Then yanking it away like a dollar on a string. This isn't necessarily a bad thing Sometimes it is he's looking at you Alberta Dario interrupted a summer of punk for no good reason It's a heartbreaker in all the best ways Q Randall Keith Orton 10 when I say I watched this pay-per-view Daniel Bryan Winning the match becoming the champion to only get screwed by triple H who was refereeing To only get screwed to allow Randy Orton to cash in on him when I say the amount of heel heat legitimate heel heat was perfect bro and This created one of the greatest storylines to WrestleMania of all time because at this point He Daniel Bryan was feuding with the authority because he was trying to get his opportunity to win the championship I was so good Damn good earning heel alongside triple H at SummerSlam 2013 to form the authority and crush Daniel Bryan still confetti plastered dreams into a smooth Nutritional that was great best emotional bait and switches at WWE's ever done proper eye-watering triumph to nauseous That was so great rage all being felt by the audience by design Which is something of a rarity these days with the actual consequences of the cash-in lasting for years to come Indirectly giving us the main event of WrestleMania 30 the breakup of the shield team Stina versus team authority all pinging off each other in one Big authority angle it served me 2014 WWE's best overall calendar year of the 2010s worst number four John Cena everything about seen as money in the bank rain was Barlux wasn't it first of all the handle broke when you won the thing and I don't care if it was giving that was weak Second of all the people in WWE history who does not need a bit of paper to get a title shot It's John show up and book myself in the main event Cena after winning the briefcase of money in the bank 2012 Cena booked his title match for the main event of Raw 1000 And you know what that whole concept was good didn't need the briefcase to do of course But punk versus Cena is always a money match then Well, it's the big show Audible sigh the first money in the bank cash-in to fail via DQ at that see up until that point There had been something of an aura around cash-ins even ones booked in advance at the cash-in Elevated the subsequent match into something guaranteed to be a blockbuster sealed off where big and important things happen for WWE to Bottle it and give us a cheap DQ finishes further proved that strapping the case on Johnny C was a huge waste Yeah, that's number three RVD now Let's talk about it in advance and done right. Yes RVD cash-in in to win the championship is one of the greatest moments In just WWE history, bro. It was so fantastic, man Love this moment, man. She's so magical. It brought ECW back from the dead back. Oh, no on second thoughts I hate it Ronald Van Donald won the briefcase at Mania 22 Decorating it like money in the Banksy before announcing he was cashing it in for Cena strap at one night stand 2006 Beloved underdog and throwback to a cherished time for ECW He was up against the face of sports entertainment on ECW's home turf. It's one of the most highly charged Rolly entertaining crowd. Oh, that was one of the best crowds of all time I don't think we'll ever see a crowd as so much intense pure Just wrestling it bra One of the best crowds of all time. They didn't care who was in the ring But they liked you loved you they were gonna tell you they hated you like John Cena he got Destroyed in this match by the crowd at the show they like screw you John Cena We'll give a damn about you was all my RVD man We work matches of all time with the amount of hatred and bloodlust in the air akin to Christian open Mike Knight at the Coliseum Yes, they were shenanigans edges interference and Heyman counting the fall dented the triumph slightly It's not exactly a ringing endorsement of your new brand when their big triumph is preceded by Joey Stahl saying will take it So much love the actual threat of actual danger if the booking gone another way Yeah, Hammerstein ballroom fans would have decapitated John Cena with a full bottle of piss I believe that it's pinnacle what proper emotional pro wrestling can be worst number three brawn Strowman it still Doesn't work for WWE which is 2017 2018 He was genuinely the hottest property in the company Ambulances adored by the fans was tipped to be a potential company figurehead Now he's gone It's even more heartbreaking when you consider the ginormous pop that he got summer slam 2018 two months after winning the briefcase When he showed up to announce he was cashing in post match from that point So began a series of mistakes that permanently dimmed Strowman's shine first summer slam cash in never actually happened as lesna Beat him up yeah one then he turned heel and suddenly needed backup from Ziggler, which was so stupid.  Oh my god. It was so stupid, but they they They ruined Braun Strowman character wise Mac and tire against the shield the man who kicked out of six people pinning him at Elimination chamber early that year suddenly needed Dolf as a running buddy strike to finally the cash in in advance at Hell in the Cell Where Brock Lesnar arrived killed both men ending a Hell in the Cell match in a f***ing no contest Lesnar kill Strowman again in Saudi Arabia and not even beating Goldberg for the universal title ever made brawn as big a deal Or as popular as he had been that one night at summer slam where his music played and he strode down to the ring Yeah briefcase.   It was Arguably it's no doubt about it. Dolf Ziggler's best Moment in WWE No doubt about it. If you might not spend the rest of your career as a main event You might have your title taken from you as a result of a terribly timed concussion You might spend the rest of your life screaming. It should have been me You'll always have the night after WrestleMania 29 in front of a capacity crowd all of whom thought at the time It should have been dull one of the rowdiest most entertaining Raw's maybe ever dull finally cashed in money in the back It's holding it for 267 days and it's soaking up more battle damage than Reinhardt Look at me making overwatch references five years too late finger on the pulse. Please subscribe It's a joyous moment where WWE teased just enough that perennial Bridesmaid Ziggler would fail one more time locking him in a Terrifying arm bar for he clawed his way to freedom dropped Alberta Daria with the zigzag and won his second But let's be honest first world championship admits deafening joy only one cash in tops it Probably know what it is. But first worst number two Damian Damian sand out was really good lads Aaron Stevens is still very good in the NWA to be clear But the savior of the unwashed masses gimmick was my jam Can't think why an arrogant self-consciously overtly articulate dick would appeal to me and I refuse to examine it any further pointers Damian said I would have money in the briefcase in Turned it into a lever briefcase and I couldn't possibly love him anymore But then but then after feuding with Cody Rhodes over the summer losing that feud They're not appearing on the next two pay-per-views the night after hell in the cell Sandow cashed in on John Cena, which is the epitome of tugging on Superman's cape despite bludgeon Brothering Cena's arm destroying his own briefcase in the grimmest foreshadowing imaginable The two men had a really good match cuz again cash in matches should always be a big deal for injured Cena scoop sand Out planted him with the AA and handed sand out the first failed cash in Actually being beaten in money in the bank history that sand out immediately plummeted down the card and it's a shame while all Yeah, that Nah, bro, you don't do that. You don't you don't do that I don't know why they had to do that just to have him. Oh Man What's that happen? He was done. He was done This is where people is like y'all. This is this is trash, bro Like this is oh my god I felt for Damian at this point, bro His character at least well least things such a shame best number one Seth Rollins Yeah, of course it is the heist of the century won the best parachute pull bits of booking in wrestling history at mania 331 money in the banks 10th birthday as a concept no less WWE pulled off to never before seen feet It was the first time the briefcase was used to alter an already happening match And it was the first time it cashed in at wrestle mania See sometimes a cash in passes you buy this was fantastic for the sense that We were watching that match a Lot of people who had a feeling that Roman was gonna be the guy to win because they were building up Roman like this Superhero against prop the match actually turned out better than I expected it to be and Then all you hear is Seth Rollins run down the ramp that long-ass ramp cash in to win it Oh my god And Michael Cole probably said one of the greatest lines. He's ever said in WWE The heist of the century, bro. It was so good When people think of that WrestleMania, they think it's steam and they think of that cash in There's no doubt about it, bro Hey, you miss a random episode of raw and who'd skip an episode of raw that'd be madness. Am I right? And you missed a cash in not this year the main event of WrestleMania with every single wrestling fan in the world watching something we never saw coming without fixed every single Problem with the WrestleMania main event with a simple snap of the fingers that protected everyone Even the guy who we thought didn't need protecting and perfectly aligned with Rollins's character as a second coming of the ultimate Opportunity of the road to the WrestleMania 30 main event the year before it's a golden example of how WWE so often presents us with the unthinkable so that when they relent at the last minute It suddenly feels all the more euphoric which is a pretty messed up relationship to have with your fan base the more You think about it, but here we go and worst number one Baron Corbin Don't get into fights with doctors, I suppose to the long-standing rumor is that backstage Baron Corbin got into a heated argument with WWE's head of medical who was giving the superstars a talk down playing the effects of Concussions and their effect on CTE which the lone wolf as a former NFL player took reasonable exception to Unfortunately putting the doc on blast in front of the boys drew a ton of heat on Corbin Which armed with him also calling a member of the troops a loser on Twitter gave birth to this utter humiliation Won the briefcase at money in the bank 2017 then the smackdown before SummerSlam cashed it in on a beatdown Jinder Mahal got distracted by Cena rolled up and pinned in six F***ing seconds take I remember seeing that happen, but I didn't know that's kind of the Why they screwed him over like that? I mean he has a right to feel some type of way about Concussions and CTE that's a real thing and the fact that Bro That's cold-blooded. That's messed up. You essentially D-railed his push because of he had an opinion about something like ah, that's W that's cold though Edison. I guess bleak stuff easily the worst cash in about time I will never understand WWE's habit of disciplining people by severely compromising their character in public But here we go the world's most wasted briefcase and I've made myself sad And that's our list. What are your favorite and least favorite money in the bank cash-ins? Let us know This was a dope video man. It definitely put in perspective of how these cash-ins can work and how sometimes they they fail miserably, so hopefully this year whoever wins respectively On the women's side of things and the men's side of things Hopefully they legitimately give them a right push We can see some new stars rising up at the top of the card, man I would I'm very interested to see I just hope Somehow they keep Drew McIntyre away from it or whatever like I don't know what they're gonna do with Drew He doesn't need no more title opportunities You gotta be someone new gotta be someone fresh and I'm looking forward to seeing what happens there So comment down below. Let me know who would you guys want to win this year's money in the bank? I would love to get your guys opinions on that But I appreciate all the love and support roll to 20k. Appreciate y'all kicking in with me and I'll see y'all in the next


Hi everyone, Joe for Jaspy's casebreaks.com coming at you with Jaspy's baseball is back baseball repack a dual case break 12 total boxes and we got a little hitless promo going on as well It's gonna be only seven breaks total not a lot of cases here's the stack of cases right here doing two at a time We should be expecting Stuff like this some really nice stuff big. Thanks to this group for making it happen Thanks to the people who bought their spots straight up and And congrats again to the people who won their spots in those bowman platinum breaks. We did three of those All baseball teams are in and we're gonna be randomizing those Remaining case numbers as well all over the same dice roll Four and a one five times each so we'll do names and teams first one two three four and a one fifth and final time We got Carlos down to Eugene and then four and a one five times for the teams one two three four and five After five we got the Tigers down to the Phillies All right, so Carlos with the Tigers Brian with the Giants Michael with the Yankees Bennett with the Nationals Allen Matsui with the Rockies Harry with the twins Jimmy with the A's John with the Rangers Trevor with the Cardinals Eugene with the O's Carlos last spot mojo with the halos Alamatsu with the Blue Jays Eugene with the Pirates Carlos with the Rays Johan with the Marlin Steve with the Brew Crew Gary with the Guardians Eugene with the Royals Allen with the Astros Eugene with the Red Sox Carlos with the Reds Eugene You got my Dodgers Jimmy with the White Sox Travis with the Diamondbacks Carlos with the Padres Jimmy with the Mariners Eugene with the Cubs Brian with the Mets Allen with the Braved and Eugene with the Philadelphia Phillies All right, so let's order these alphabetically Trade window is open and when we come back We'll see if there's any trades and then we'll have the break and we'll random We'll do the other randomizer for to see which cases we're gonna do so we're gonna pause the video stick around We'll be right back All right, welcome back everybody a lot of trade chatter, but we just couldn't get a deal across the finish line It's all good Good trade chatter though, but the list ultimately remains the same. Thanks everyone for getting in appreciate you Now we need to figure out which two cases we need to do as you know I know it's kind of hard to see right here, but we did mark these cases individually beforehand For everything was packed. So let's go back to the dice We're gonna use the same dice roll as we did for the names and teams four and a one five times Right, we did the five for the names five of the teams and now we'll do five for this So the top two case numbers is the ones we're gonna do once again after five one two three four and five So it's gonna be box ten and seven after five and here's seven and Ten see ten right there on my face camera, which I will leave right over here. These will do next time Bye for now cases Bye for now All right. Good luck everybody Case seven The next dual case break is loaded up if you want to get us Let me get us started on that You got for those of you seeing these for the first time We got these brand new boxes Which I think are pretty neat. We got our got a social media right here as well. That's the password For our March Madness case. You didn't know if you don't know now, you know All right, the first hit is gonna be The big hurt Frank Thomas nice 22 out of 25 It's gonna go to the light socks Jimmy with the light socks and trust me Jimmy. She'll like it, too Xbox Try a bottle just text jasmine to five five five five For your free trial bottle of new Genix All right.  It's gonna be 100th career home run Shohei Otani PSA 10 nice angels that's gonna be Carlos last bought mojo 45 out of 50 His interpreter a little bit of a hot water lately So what a wild story be sure to follow us there Twitter and Instagram. It's gonna be Grand gamers Ichiro mariners edition that'll be for Jimmy. Nice one Jimmy. He's a mariners guy two out of 25 Pretty awesome. What a player. Oh, I gotta keep an eye out for the cell sheet hits I don't think we've seen any of the cell sheet hits yet. How about how about trade Turner? That's on the cell sheet right on the button one of one From 2023 definitive collection real thick hit as well. Who's got my Dodgers Eugene has my Dodgers Eugene?  All right next up is Is a met pita Lonzo Eight out of ten. That's a great patch nice autograph Five star baseball So it's 2022 edition that's gonna go to Brian crouching the Mets and the sixth and final box Feels like a slapped card. Yeah PSA and We've got Masataka Yoshida From 2023 Bowman Chrome sapphire Orange parallel PSA 10 41 out of 75 Excuse me Eugene with the Red Sox getting choked up over this hit. Nice Next But wait, there's more. It's a dual case break right another slab and It will be Corbin Carol blue parallel PSA 10 Travis with the diamond bags 74 out of 150 Next up Next up is Ozzie Smith Going to the Cardinals a different Trevor Trevor eight or Travis H Had no different names Travis had the Arizona Dimebacks Trevor has the Cardinals and the one-of-one Trev All aboard the Big Hit Express You're a wizard Trevor Tribute. All right next up is Andy Pettit That's another one-of-one from Diamond Icons Nice that goes to Michael and the Yankees Michael All aboard the Big Hit Express All right next up gonna have we're gonna have a Craig Kimbrel From Diamond Icons baseball Red Sox edition nice patch nice auto. We got the hologram sticker right there as well One out of five out of fives and under get the train whistle Eugene All aboard On a one a lot of train whistle hits in here nice That's where we're going two more. It's Nolan Ryan eight out of 25 Rangers edition and that's gonna go to John There you go John We went a little fight going on between the Wilde and the and the Kings All right, and the final card is Is Julio Rodriguez gold ink autograph 14 out of 20 From five-star baseball nice golden grass That's gonna be for Jimmy There you go Jimmy and his Mariners and there you go gang I'm Joe for jazby's case breaks.com. We got another dual case or load it up Get on board the Big Hit Express get into our baseball is back repack. I'm Joe I'll see you next time for the next break. Bye-bye


Moments ago, these men jumped out of their helicopters into these rice fields. They are blocking the exit from the village up ahead. So far, no Viet Cong tax collectors have tried to come out this way. Now, these troopers of the 101st Airborne Division will move up and try to flush the VC from hiding. This operation taking place near Tui Hoa is almost a daily routine. The Viet Cong send in squads of grain collectors and tax collectors.  If it appears there is going to be shooting, our troops try to keep the women and kids out of the way. This is the payoff. If the enemy is there, he will show now. In this case, we are too late. He is gone. Some distance away, it's a different story. These captives posed as new residents of the Hamlet, but their stories made the airborne infantrymen suspicious and they are being taken in for questioning. The circumstances of each prisoner's capture are written up on his tag. This information helps the G2 officers a great deal while they are conducting their interrogation. Keeping the prisoners blindfolded prevents them from seeing the route taken on the way to the American camp. At the base, the prisoners are removed from the truck after the blindfolds are taken off. Their next destination is a holding area where they will be interrogated at length regarding their military affiliations and activities. A concertina wire enclosure in an open field near headquarters effectively prevents these suspects from getting away. In addition to the wire, there is a guard. Now comes the questioning. The captives' papers are carefully scrutinized and then each prisoner is asked a series of pertinent questions. Whether he answers the questions or not, the prisoner is fed. And he finds American food is good. It is 20 July. At Flakou, units of the 25th Infantry Division prepare for another combat mission during Operation Paul Revere in the central highlands of Vietnam. A joint operation, Paul Revere began on 10 May under the command of Brigadier General Glenn D. Walker of the 25th Division and involved troops of the Republic of Korea Tiger Division as well as the U.S. 25th Division. Now, after inflicting heavy casualties on the regular North Vietnamese forces at Flamie to the southwest, the men of the 25th prepare to fly north and secure a new LZ in Viet Cong-controlled country. Finally, all is in readiness and the task force takes off from Flakou for the 96-kilometer flight to their objective in the highlands. As the helicopters fly over Can Thuong province, the countryside below seems deserted. Here and there, the jungle parts to reveal grassy meadows and low growth, but there is no sign of life. Once, they pass over some old bunkers built by American forces during an earlier search-and-destroy operation. The emplacements on the dirt road now abandoned as the war moves on. Then, they are at the objective, another of the grassy islands in the midst of jungle-covered mountain sides. There is no enemy fire and security troops begin scouring the area. In a short while, the first howitzer is brought in by Chinook helicopter and placed where the crew can get at it. Unloading of ammunition and other supplies is quickly accomplished. Another tube artillery piece arrives. Soon, troops of the task force will sweep the surrounding area and a 90-millimeter mortar is used to hit vantage points overlooking the valley corridor. The landing zone is now secure, and the buildup of weapons and supplies is rapid as this phase of Operation Paul Revere proceeds on schedule. These North Vietnamese prisoners of war were captured by troops of the U.S. First Air Cavalry Division during Operation Paul Revere II, which commenced on 1 August when the First Air Cav was added to Operation Paul Revere. Now, on 17 August at Phla Koo, Premier Ki and other dignitaries of the South Vietnamese government visit the joint U.S. and Korean forces engaged in the operation. A great variety of captured enemy weapons is displayed on this occasion. Premier Ki speaks to one of the enemy prisoners. Then, in the ceremonies which follow, Major General John Norton, commanding general of the First Air Cav, and Brigadier General Glenn D. Walker, commanding general Third Brigade, 25th Infantry Division, receive Vietnamese National Awards. There are awards too for many of the participants in the joint operation, including men from each of the military units, both American and Korean. Continuing the operation on 19 August, troopers of the First Air Cav secure another landing zone, codename CAT, and are surprised when a group of North Vietnamese surrender with their weapons. The prisoners are reported to have surrendered because of our psychological warfare leaflets. Soon after the landing zone has been secured, the troops are resupplied by aerial drop from a C-130. Elsewhere on 19 August, a peculiar accident plagues another unit of Paul Revere troops. Several kilometers north of LZ CAT, at a forward artillery position, Major General Norton hears that the rotors of a Chinook helicopter blew flames from a campfire onto a stockpile of 105 mm howitzer ammunition. Some of the rounds exploded, while others were scattered over a wide area. Three men were injured in the blast and considerable damage done. The problem now is the partially damaged ammunition. The dangerous items of munitions must be removed. One of the battery officers carefully picks up a damaged round and hands it to one of the men. The soldier cradles the round in his arms for greater stability, then, in a hair-raising trip, picks his way across bumpy terrain for several hundred meters until he reaches the site selected for demolition of the faulty rounds.  Throughout the area, men continue to pick up and transport the dangerous rounds to the disposal pit, a nerve-wracking experience even for the calmest of men. Mission accomplished in this unexpected incident during Operation Paul Revere II. Eighty kilometers east of Saigon, members of the 173rd Airborne Brigade search the village of Zahuan Loc for suspected Viet Cong guerrillas. Part of Operation Toledo, the search is taking place on 31 August. Residents of the village, which is just outside the 173rd's forward command post at Zajah Ray, are individually checked. This man is being held as a suspected member of the Viet Cong paramilitary. Two weapons were found hidden in his home. Completing their search without further incident, the airborne troopers pull out and return to the armored personnel carriers which have been providing security on the perimeter of the village. As in every operation, medical aid is provided for the population of the village. The med cap and dent cap programs conducted by American military forces in Vietnam are in sharp contrast to the Viet Cong terrorist tactics which are designed to deprive villagers of whatever little they may have. Aside from gifts of food, there is nothing which is more appreciated by these people than medical assistance. The children are always brought forward first while the adults patiently await their turn for treatment. Meanwhile, at the 173rd's forward command post at Zajah Ray, helleborn assault troops fly in for regrouping and a night's rest before being sent on a new mission during Operation Toledo. The operation which began on 10 August has taken troops of the 173rd into the provinces of Phuoc Tui, Long Khan and Bin Tui. In the first 20 days of the operation, search and destroy missions have been carried out from the area around Vung Tau to within a few kilometers of Saigon, but little contact has been made with the enemy. Now on the 1st of September, the Sky Troopers are once again being prepared for action. The men from the first wave move off the landing zone. With the landing zone clear, the second wave of airborne infantry begins arriving. This phase of Operation Toledo is to be carried out in battalion strength and the incoming air traffic has to be controlled with precision to avoid accidents on or above the landing zone. As each helicopter touches down, the soldier passengers immediately scramble off so the chopper can take off and make room for more oncoming aircraft. Then, all up and down the airstrip, the men move off the landing zone and go to join the troops along the perimeter. At the staging area alongside the field, men of the various units are regrouped and form up for the brief march to Bivouac area where the battalion will spend the night. Soon, the airborne assault troops are headed for a good night's rest. Tomorrow, they will descend upon another sector of the 2nd Corps area as Operation Toledo continues. On August 19, Ambassador Henry Cabot Lodge arrives by helicopter at the village of Hoa Loi that is about 64 kilometers west of Saigon. This village, a DC stopping point, was sealed off the day before in a joint operation by elements of the 1st Infantry Division and the Vietnamese Army. As explained to Ambassador Lodge, the village is now undergoing a pacification program. The program starts with sealing off by airborne troops and then all males from 18 to 45 are separated for questioning by the Vietnamese National Police. At the same time, the other villagers are taken to a secure area where a hamlet festival has been organized by the American troops. Lieutenant Colonel James Wallace of the 1st Infantry Division, who is in command of the operation, briefs the ambassador. Our part in this operation was to provide the coordinates around the city yesterday afternoon in order to prevent any DC suspect from escaping from the city and also to provide security for the conduct of the hamlet festival today. Among those attending the briefing with Ambassador Lodge are General Seaman commanding General Second Field Forces and General Thuong of the Army of Vietnam. At the time, my ant-only infantry battalion attached to it was a troop of the 1st Battalion of the 4th Capitol. The hamlet festivals, known as Lum Son, play a dual role in the pacification program. First, they keep the villagers in a separate area while the rest of the villagers being searched for enemy troops and supplies. Second, they create an atmosphere of mutual trust and goodwill by providing food, medical aid, and entertainment. I take that one of the square, put it in my hand, I set, I got two little round balls. Right?  Right? You take that and go holy smokers. And you got one little square again. After the briefing, the ambassador personally examines the Lum Son in action. Mess tents prepare food for both the occupying troops and the villagers. Following his visit to Hoa Loi, Ambassador Lodge flies on to another hamlet where pacification was completed in June. Bung Rowe Bay, secured by the 101st Airborne during Operation John Paul Jones in late July, is the scene of an effort to develop this natural harbor into an important supply point for units in the Tui Hoa area. While the 101st secures the area from vantage points above the bay, a task force composed of several engineer units works as quickly as possible to complete harbor facilities which will help relieve demands on Camron Bay and Natrong to the south. The 39th Engineer Battalion has the responsibility for building the ramp for the main pier and two LST ramps at the shoreline as well as the staging area on the beach. Because the hot, humid climate affects the setting of concrete, the ramps are poured and smooth in the late afternoon and evening. The pier itself is being built by a port construction company. It is a tide-flexible pier made of cubical pontoon sections. On another part of the beach, men of the diving section connect units of a flexible pipeline which will enable oil tankers to unload without docking at the pier. From a barge in the bay, the completed pipeline is pulled out by winch to where it will be sunk and secured on the bay floor. A marker buoy keeps the head of the oil pipe afloat. Next step is the setting of the mooring buoy, to which the tankers can be secured while unloading. A huge anchor, which in turn is attached to a concrete block weighing several tons, is positioned and lowered into the water. Then everyone stands clear as the ropes holding the heavy chain are cut. When the system is operational, petroleum will pass from the ship to the beach by pipeline, up along a railroad cut and through the mountains by way of Babano Railroad Tunnel, eventually reaching the Tuihua Tank Farm. Highway 1 lies only a few kilometers inland from the bay, but construction of a road to meet it is perhaps the most challenging task for the engineers. Often, charges are set to blast away outcroppings barring the way. Then, the bulldozers get back to work, carving a steep path out of the rugged escarpment. Progress is rapid, and the route begins to take shape, promising to open Bung Ro Bay as an important new supply point in Vietnam. On the Long Tau River, 40 kilometers southeast of Saigon, salvage operations get underway for the American cargo freighter Baton Rouge Victory, which ran aground and sank to its main decks after striking a BC mine on 24 August. The twisting Long Tau River is the favored shipping route to the port of Saigon, and on a number of occasions this year, Viet Congorellas have attacked passing cargo vessels in an attempt to block the vital supply channel. The Vietnamese officials ordered the area closed to shipping until salvage crews complete raising and removal of the 8,500-ton freighter to Vung Tau for repair. The rehabilitation center for crippled children in Santa Domingo operates with funds contributed in part by soldiers of the Inter-American Peace Force. The only center of its kind in the country, the clinic currently treats over 2,200 cases. At present, the center consists of one crowded room containing examination booths, offices, and a gym for special therapy. A small overworked staff, headed by Dr. Alfredo Contreras, treats the young patients, most of whom are victims of polio, cerebral palsy, or deformities of the legs. In the brace shop, Mr. Olaf Hansen of Denmark, a United Nations employee, is teaching seven Dominicans, who are themselves physically handicapped, designed in construction of braces, shoes, and other appliances. Fully 60% of the center's new cases are leg deformities. This is due to poor nutrition and or the lack of prenatal care. Until recent times, the physically handicapped Dominican child was considered a loss and was given no education. To counteract this, the center is beginning a school to be run by a government-paid teacher. Brigadier General Robert R. Linville, commanding General U.S. Forces Dominican Republic, arrives at Santa Domingo's Quisquea Stadium to attend the baseball tournament playoffs of six U.S. Forces-sponsored teams of Dominican youths during the weekend of August 26, 28. The Junior League tournament gets underway with U.S. Forces and Dominican National Police officers in attendance, along with a goodly turnout of team supporters. General Linville shares the spotlight with Police Chief General Alvarez in throwing out the traditional first ball. The teams, for Dominican boys 18 to 20 years old, are supported and coached by various U.S. Army units. Essential equipment and some uniforms have been supplied by these units. The teams playing in the seven-game tourney come from villages and suburbs of Santa Domingo. U.S. Major League professional rules are in effect in all games. Following the Sunday afternoon championship game, trophies supplied by the U.S. Army are presented to the winning Royal Hondo team by Colonel Daryl G. Wood, commanding officer of the 16th General Support Group and Colonel F. P. Field, Chief of Staff. The most valuable player award goes to Miguel Montanue, first baseman for the championship team. Looks like a good time was had by all. The School of the Americas, located at Fort Gulick in the Canal Zone, boasts one of the most unique mess halls in the Army. More than 200 Latin American students, hailing from 18 different nations, study technical skills and leadership techniques at the school. And, though the normal diet of a Bolivian from the Andes and a Venezuelan from the coastal jungles is far different, they all find familiar and tasty food awaiting them at chow time. The man responsible for this feat of catering is mess steward Sergeant Ramon Santana. Although the mess is taken from the Army master menu, Sergeant Santana, with 18 years of experience behind him, manages to add a Latin American flavor to a variety of his dishes. Operating with a staff of four cooks and 10 KPs, Sergeant Santana often finds himself preparing veal cutlets in a vinegar and onion sauce, or substituting rice for potatoes. Salads and tropical foods are served as much as possible. Preparing meals for such a mixed group of nationals is a difficult assignment, but the Sergeant and his staff are more than equal to the task. His mess has won the Fort Gulick Command Award for four months running. In July, a Brazilian Air Force plane arrives in Rio de Janeiro with officers who are members of the Inter-American Peace Force, stationed in the Dominican Republic. These officers will spend their leave in Brazil, while Brazilian officers may fly on U.S. Air Force planes to visit Puerto Rico. Leaving the airport, the party has a short drive through a city that is almost 500 years old. Although theirs is not an official visit, they will make some courtesy calls before going on with their sightseeing trip. They meet General de Alameda, staff president of the Inter-American Peace Force. In another office, Lieutenant General Vonderle, Brazilian Chief of Staff, welcomes Army Lieutenant Fred Fascist Jr. and Captain Mike Maloney to Rio, and congratulates them on being able to take part in the exchange program. During their stay, the Allied officers also visit the city of São Paulo. In this industrial center, the party tours several modern factories. This automobile production and assembly line is one of the newest and most efficient in the world. Nestle's products and the Sandbrough Company are some more examples of a nation rapidly expanding its production facilities. Two of the pleasures of a stay in Rio are a late breakfast, followed by a swim at the famous Copacabana Beach. Even though in July it is winter in Brazil, Captain Maloney and Lieutenant Fascist are willing to brave the elements. Quite possibly, the water seems warmer when shared with their charming companions, two young ladies who are also vacationing in Rio. Their leave is soon over, and the officers must return to their duties in the Dominican Republic. Similar exchange trips took place once a month from April to September 1966. During this period, more than 40 officers of the Inter-American Peace Force participated in the program.


Item Number- SCP-285 Object Class- Euclid Special Containment Procedures SCP-285 is to be kept in a level 3 humanoid containment chamber on Site 43's B-Wing SCP-285 is to be given basic amenities. Following SCP-285's recent cooperation with the Foundation, it has allowed exactly two hours of free-roaming Site 43's botanical gardens, with supervision by at least one guard if it so chooses. Personnel are not to discuss SCP-285's past with POI-6938 without approval of Site 43's director. If this occurs, authorized technical staff are to manually remove the information from SCP-285-B via use of SCP-285-A. SCP-285-B instances are not to be edited without the permission of the administrator of Site 43's technical staff. SCP-285 is to never be given its full abilities back under any circumstances. Description SCP-285 is an anomalous humanoid entity with no defined shape or internal structure, the exception being SCP-285-A, which consistently manifests itself on the object's back. SCP-285's body changes sporadically, with no pattern among the alterations. Despite the trauma SCP-285 incurs as a result of this bodily mutation, it will not at any point display signs of homeostatic distress. Subject claims it cannot control these changes. These changes include, but are not limited to, loss and growth of new limbs, variable size and shape of body parts. Loss and growth of height and mass SCP-285-A appears to be an Ethernet port, which allows access to SCP-285's internal database. When accessed by a computer capable of wired connections between networks, various files are capable of being accessed. These files, SCP-285-B, contain various text files, audio files, cognitohazards, and videos. 90% of all files have been corrupted. The cause of this corruption is currently unknown. Additionally, SCP-285 is only capable of accessing files that were formed within its own database. Investigations into SCP-285-B and its contents reveal that editing of SCP-285-B could cause external changes on SCP-285's body and psychological state. To what extent this is possible without causing permanent damage to SCP-285 is currently unknown. It is believed that POI-6938 used this ability to evade GOI-102, Unusual Incidents Unit, through consistent use of editing SCP-285's facial structure and body type, along with editing and thomatological-based offense capabilities to defend against GOI-102 agents. SCP-285 was recovered following an attempted arrest involving itself and an unknown individual, currently believed to be SCP-285's creator in Las Vegas, Nevada. SCP-285 and the unknown individual, POI-6938, were initially pulled over for speeding before the officer discovered that POI-6938 had attacked a federal building in California. This federal building was later revealed to have been under the direct control of GOI-102 and was used as a prison for anomalous humanoids. The attack by POI-6938 and SCP-285 ended in the deaths of 34 GOI-102 personnel and the release of roughly 70% of the prison population. The officer attempted to arrest SCP-285 in POI-6938, but was attacked by SCP-285. POI-6938 then escaped, leaving SCP-285 with the officer. SCP-285 was then arrested and put into GOI-102 custody before eventually being given over to the Foundation, following an anomalous trade of information between GOI-102 and the Foundation. Both local law enforcement and federal agents were unable to locate POI-6938. Anomalous pathways located in Nevada are currently being investigated with Joint Foundation UIU Task Forces. Interview Log Interviewer Dr. Henderson Subject SCP-285 Begin Log Dr. Henderson What is your purpose? SCP-285 I don't know. Dr. Henderson How do you not know? SCP-285 I just don't know. I have an idea of why it was created, but I'm not too sure. Dr. Henderson Well, tell me why you think you were created. SCP-285 Well, to entertain kids. Originally, I think. Although, my purpose was probably... Altered, for lack of a better word. Dr. Henderson How do you think you were altered? SCP-285 It's hard to explain. I remember some things perfectly, but others I can't even think of. I think he was mad, and he wanted to hurt someone. And he used me to help hurt them. I hope he didn't succeed. Dr. Henderson Why do you not want him to succeed? SCP-285 I don't want to hurt anyone. Dr. Henderson Then why did you attack that officer? SCP-285 pauses. SCP-285 I just did as I was told. But I think that's the only time he ever made me hurt someone. At least, I think he did. Dr. Henderson Why do you think your creator put these various files onto you? SCP-285 Insurance, I guess. Dr. Henderson Explain SCP-285 You see, I remember my, uh, database, for lack of a better word, being biological in nature. My brain, TAPS4AD, contains all the information in my database, even if I can't access anything you put on me.  SCP-285 Not disappear as much as just become corrupted. But, yes, that's the idea. He wanted to make sure that if I was to get captured by the UIU or whatever it was called, that they wouldn't have been able to read my files. He really hated those guys. Maybe that's what made him mad in the first place. I remember whenever I brought it up, he'd get angry and yell at me a lot. I cried a little. Not a lot. He hates when I cry. It's not my fault that he created me to cry. Dr. Henderson Did he bring anything up that would maybe have explained why he was so angry? SCP-285 No, but the way he sounded, it was like the end of the world to him. That's why he created me, I think. Why he altered me. He wanted to use me as… something. As a, uh… weapon, I guess? Whatever it was, he wanted to hurt the UIU.  It was scary. Dr. Henderson Well, the UIU is not evil. I can say that with confidence. SCP-285 How, though?   I've never had a family, but that must hurt, right? Dr. Henderson Whatever your creator told you, it was inaccurate to reality. SCP-285 If you say so, Dr. I trust you more than him, anyways. Dr. Henderson Why do you think your creator left you behind? SCP-285 He was done with me. Dr. Henderson How was he done with you? SCP-285 He had done what he wanted to do, whatever it was.  SCP-285 I think he was. And after uploading all the files into my database, he was gonna do that. But he got interrupted. And he panicked. And he had just hoped that the cop would just finish me off. Glad he didn't do that, you know? I like living. Better than whatever I was before. Dr. Henderson Why do you think you wanted to get rid of all the files in your database? SCP-285 Something was there. Something about some other people. He did something to them. Stole something real important to them. I think he was a part of them at one point, but left. Maybe I was a part of them too, I don't know. But I know that whatever group it was, he didn't want them coming after him. Or finding me. Dr. Henderson Do you remember the name of this group? SCP-285 I don't know, man. I remember him talking about some f***ing stoners, but that's pretty much it. End log Addendum 285.1 The following collection of documents are filed in chronological order, based off of documents from SCP-285's internal database and GOI-102 related documents. The purpose of this collection is to provide a possible time frame regarding SCP-285's creation and POI-698's overall motive and goal. Document A The following document was a deleted audio file believed to be addressed as SCP-285's original owners. Data corrupted.  I need him. Without him, I wouldn't have gotten this far.  If anything, you should be glad he's around. Better for them to be mind-s**t or oblivion than just killed, right? Man, you really gave this guy some sweet powers. You sure this guy was meant to be a kitty thing? I thought we were meant to be pacifists or something. Not that I'm complaining. You know, that's the one thing I've always hated about you two.  You don't ever fight back.  Yeah, it was fun, what we did. For a while at any rate. Then Jordan got taken. You two wouldn't understand. But it's like to have to take care of someone. Look after someone. Do some real s**tty things to protect the ones that you love. Data corrupted. And every damn time I tried asking you and the others about what we should do about Jordan. About how the Ravens took it. Remember what you f**king said, Jude? He got what he deserved? Well, I remember that. Data corrupted. Maybe we need a couple of terrorists in the world to knock the man a peg or two down. Data corrupted. Document B. Document currently believed to be in reference to Jordan from document A. UIU file, 2016-982, codename, Marrymaker. Summary. Suspect capable of performing high-class thomatology and minor reality warping. Possible connections to the serpent's hand, an anomalous terrorist organization, and is primarily active in Southern California and Nevada. Possible member of the secretive location known as the library, the main base of the serpent's hand. Name, unknown, but has consistently given out the first name Jordan. Irregularity cross-reference. Human, magician, terrorist, American, serpent's hand. Physical description. Note, subject to consistent changes. Sex, male. Height, 72 inches. Weight and build, 189 pounds. Large. Race, white. Hair, brown. Eyes, blue. Identifying attributes. Tattoos depicting a hand strangling an American eagle, hammer smashing a five-pointed star, and several hands tugging at a logo with three arrows pointing inwards. Capabilities. Suspect is capable of performing offensive thomatic spells. These spells include fire-based projectiles, sentient flesh-based creations formed from his own epidermis, and capable of forming ways. These ways are not permanent and are incredibly unstable. In all cases, ways produced by the suspect are incapable of transporting him at long distances. These ways also cause temporary physical and mental effects to the suspect. Suspect suffers from vomiting and nausea after forming ways. Purpose and motive. Primarily motivated by hatred of organizations or agencies responsible for preserving and maintaining consensus reality, along with curbing activity in the anomalous community, believes that the only way anomalous humans can continue to exist is by the destruction of any and all normalcy agencies, willing to cooperate with any group or person as long as this primary motive is maintained. Modus operandi. Suspect often works with terrorist organizations, specifically the Serpent's Hand, various anarchist sects, and, on one occasion, with a currently unidentified anomalous terrorist group. Its cooperation is often in tandem with the organization's opposition to normalcy agencies. Behavior. Behaves with very little remorse or empathy towards nonanomalous entities. Exhibits unwillingness to socialize with other people, both anomalous and nonanomalous. Document C. The following document was recovered inside of SCP-285's memory files. Originally a video, but only the audio was recovered. Audio begins with the sound of a car driving down a road. A male voice can be heard talking, identified as POI-6938. POI-6938. They're f***ing animals, all of them. They beat us, abuse us, make us follow their rules, which always f***ing put us at a disadvantage, and they expect us not to fight back. It's horrible. SCP-285 does not speak. POI-6938. Well, me and you will show them.  Right, Hacks? SCP-285 does not respond. POI-6938. Right, Hacks? SCP-285. Yes, yes, sir. POI-6938. That's more like it. Now get ready, some feds are up ahead. This place should be where they keep the prisoner lists and s*** it. And hand me that mask. Just cause you don't need one doesn't mean I don't. The car slows down to a halt, with the two car doors opening and slamming closed. Faint talking can be heard, along with the sound of a door opening and closing. Audio cuts out for 31 minutes, before beginning once again. Vomiting noises can be heard, as someone is yelling. POI-6938. God f***ing dammit.  SCP-285. I'm sorry. Alright, I just can't. SCP-285 is cut off by vomiting. POI-6938. Dammit, blunt. Why did he have to make you so much of a pansy? SCP-285. Oh God, I can't do this. It hurts. POI-6938. I'd expect so. They made me put that feature in. SCP-285. They? POI-6938. Yeah, the f***ing stoners. Blame them for what's going on. When someone like me or some other person feels bad for killing someone, it's like five times as painful for you. Increased empathy and the like. I would have made you like me, but they just had to be... Vomiting noises begins again. SCP-285. Get it out of me. Help me, make me a sociopath or something. I can't.  POI-6938. I can't. It's a built-in thing they made me put in you.  So, better get used to it, Hacks.  We got what we needed.  SCP-285. Yeah, yes, sir. End video. Document D. The following phone call is believed to be between POI-6938 and POI-6939, Jordan, after they'd escaped the correctional facility where Jordan had originally been placed. POI-6938. Hey, dude, you there? Jordan, yes, I am. What happened? POI-6938. F*** if I know, man. Our, uh, mutual friends did something to Hacks. Jordan, what do you mean did something to it? POI-6938. I can't mess with his files now without possibly killing him at any rate. Jordan, and? POI-6938, which means he's a liability. They know his face and he doesn't have any of the fancy stuff he used to have. Now he just sorta changes at random. He's too dangerous. Jordan, what do we do? POI-6938. We, uh, do what we need to. Jordan, of course. Where will it be? POI-6938, outside of Vegas. I'll meet you at Salt Lake. Jordan, all right. Just be careful, all right? POI-6938. You know I am, brother. Love you. Jordan, love you too. Addendum 285.2. The following document was discovered inside of a sealed envelope addressed to Site 43 staff. Dear janitors slash ravens. I know this type of thing isn't our usual style, but we as a group decided that this situation couldn't be considered normal by any stretch of the imagination. We know you have Hacks and we know what happened to him, including what happened with Ken and Jordan and what they planned on doing to him. How we know this is not important, but what is important is what we learned from it. Then we just want to say one thing to everyone involved. We're sorry. We're sorry we trusted a monster who we thought was our friend. We're sorry that we couldn't stop him in time. We're sorry that we couldn't prevent what you went through, Hacks. I and the rest of the group want to say that we never wanted this to end this way. For Hacks, for you janitors, or for the ravens, who didn't deserve what happened to them. We just wanted to bring happiness to children with your powers. We just wanted to mock you and the ravens. We didn't mean for this. We never intended for things to end like this. We're so, so sorry. Signed, Gamers Against Weed. P.S., don't worry about Ken or Jordan. We've dealt with them. Item number, SCP-280. Object Class, Keter. Special Containment Procedures. SCP-280 is to be contained in a five by five meter cell and no equipment of any kind is to be left inside when staff are not present. Containment area is to be kept in total darkness at all times. Any items taken into the containment cell must be removed by staff at the end of testing and any staff entering into containment must wear infrared goggles and be equipped with an infrared ID strobe and a strong flashlight. In the event of an SCP-280 attack, all staff are to power on their flashlights and illuminate the subject under attack. No aggressive action is to be taken against SCP-280 and staff are to keep one meter from SCP-280 at all times. Staff should continue to illuminate SCP-280 until it retreats to a sufficient distance to allow the recovery and extraction of the subject of the attack.  No feet or legs are visible as the lower portion of the body appears to fade away several centimeters from the ground. SCP-280 appears to be wholly composed of a matter that can gain or lose corporeal form. This matter is very black with only the eyes showing any other color and when changing to a non corporeal form looks much like smoke. The eyes are non functioning and appear only when SCP-280 is retreating appearing to be used like eye spots on some insects. SCP-280 is very strong and has been observed pulling apart steel with its hands showing no sign of stress. SCP-280 moves with a gliding motion with its hands extended, described as a sleepwalker pose by observers. SCP-280 will move slowly towards any human beings and attempt to attack them. SCP-280 appears to sense human life. No limit has yet been found on this ability. SCP-280 will approach to within 14 centimeters of a subject and then use its hands to pull and tear of the subject causing massive physical trauma. The attack can last between one and five minutes and will continue until the death of the subject at which point SCP-280 will expose its eyes, lose corporeal form and move to the next human. If no humans are present, SCP-280 will move and ball up against a wall or other structure until a human being is again present. SCP-280 will retreat slowly from light exposing its eyes in the direction of the light or at any nearby humans. This has been described as extremely disconcerting by those who have been stared at. If the area that SCP-280 currently resides in becomes fully illuminated or there is a very bright burst of light, SCP-280 will fade away and reappear in another area. This appears to be done purely as a defensive response to light and will not be used to follow or attack prey. SCP-280 does not appear to eat, breathe or sleep. It does not ingest any of the tissue removed during an attack and simply drops it to tear a new piece. Due to its ability to become incorporeal at will and its aggressive nature, no samples of SCP-280 have been collected. Addendum, notes on recovery. SCP-280 was recovered in Mississippi after several reports of locked room murders and child deaths. All were reported as being extremely vicious and victims were, quote, horribly mangled. The foundation became involved after a family of five was murdered in their home. A survivor was found in the basement, nine-year-old David... who had come over for a sleepover. He was found in an advanced state of shock holding a flashlight and unresponsive to outside stimulus. During an investigation of the basement, an officer was attacked and badly mutilated. His statement attracted the interest of foundation agents. During recovery, SCP-280 was temporarily lost due to its ability to teleport when exposed to high levels of light. It was also observed that SCP-280 is frequently discounted as a shadow when seen in the dark or dismissed as clothing, hair, or another object when accidentally touched in the dark. When tracking a subject, SCP-280 will remain incorporeal until the moment of attack, causing some to walk very close to or through SCP-280. Subjects report a feeling of dread and unease when inside SCP-280. SCP-280 usually does not respond to this, but will sometimes expose its eyes and enter its retreating posture when passed through. No pattern has emerged for this behavior. Addendum, notes following testing. During a series of extensive testing of the effects of various illumination sources on SCP-280's retreat reflex, SCP-280 broke containment. SCP-280 was observed to repeatedly appear and dissipate throughout the illuminated site, progressing through the sub-levels and eventually appearing in SCP-1591's containment chamber. Upon being exposed to SCP-1591, SCP-280 displayed its eyes, but did not retreat. The entity paused and knelt for several minutes before de-manifestation. SCP-280 reappeared in its cell several hours later without incident. Item number, SCP-303. Object Class, Euclid. Special Containment Procedures. As SCP-303 has not yet been known to travel beyond the boundaries of site, the entire area of said location is currently considered SCP-303's containment area. All rooms in site are to be altered where possible so as to have two entrances separated by a distance of 10 meters or line of sight. Personnel are to be distributed evenly throughout the facility with available radio or intercom contact so that encounters may be resolved quickly. Personnel who witness SCP-303 are to be submitted for immediate psychiatric evaluation. All SCP objects housed at Site B since before 6410 are to be transferred to Site B one at a time. Each SCP object will be transferred again to Site A once it can be verified that SCP-303 has not migrated from Site B with it. Once SCP-303 either migrates to Site B or remains present at Site B once all SCPs in question have been transferred to Site A, containment procedures will be updated as appropriate. Description. Witnesses describe SCP-303 as a nude, sexless, emaciated humanoid figure with reddish-brown skin.  It continually vocalizes a wheezing noise, loud enough to be heard from the other side of most solid doors. All individuals who have had encounters with SCP-303 are capable of describing it in full, including individuals who have not physically seen any part of it. SCP-303 will periodically materialize behind any closed door, hatch, or other entryway barrier opposite a sentient observer chosen by unknown means. SCP-303 will then remain behind the door for an indeterminate amount of time. Any individual attempting to open the door or barrier experiences intense paralyzing fear that lasts until SCP-303 dematerializes, either on its own, or to avoid being directly seen by another observer. The source of this fear is not clear, but appears to be similar in nature to arachnophobia and aphidophobia, originating on a pre-conscious genetic level. Data expunged, analysis indicates that SCP-303 is not, in fact, purposefully inducing fear in the affected individuals. SCP-303 does not allow itself to come into direct visual contact with any observer and has never allowed any one individual to view more than 10% of its form. When the door or other entryway barrier is partially or completely transparent, SCP-303 will materialize in an orientation that leaves 10% or less of its body visible, or cause effects of fog or frost on the transparent surface to achieve the same effect. If SCP-303 is approached from a direction in which there is not a solid object or door breaking line of sight, it will dematerialize before direct visual contact is made. Any electronic or complex mechanical devices that SCP-303 encounters are temporarily disabled. SCP-303 has made no recorded attempt to physically or verbally engage any observer. How SCP-303 arrived at sight is not known at this time. SCP-303's first recorded appearance was on 3-1-10. It is suspected that SCP-303 was inadvertently transferred along with or manifested by another SCP on sight. All SCPs at said location are being reexamined accordingly. Incident log, 303A. Incident 3031. Agent R was showering in her private quarters bathroom when she became aware of the presence of SCP-303 on the opposite side of the shower curtain. It was wheezing extremely loudly. Startled by the discovery, she accidentally struck the shower curtain, causing it to sway outwards. The curtain partially wrapped around SCP-303, revealing that it was less than 0.5 meters from the curtain, standing erect and facing the shower. Agent R reports spending approximately the next three hours sobbing in the shower, quietly, as not to disturb SCP-303. Agent R reported that the wheezing stopped very suddenly, at which point in time she was able to exit the shower. Incident 3033. Agent B encountered SCP-303 inside the site's second floor break room. He was attempting to obtain coffee creamer from the counter cabinet, when he heard loud wheezing emanating from the cabinet and was overtaken by overwhelming fear. Agent B later reported that SCP-303 was huddled in the cabinet in the fetal position. Agent B claimed to be certain of the information, despite failing to open the cabinet door. Later, when the cabinet was examined, one container of powdered coffee creamer was missing. Note, this is the first recorded instance of SCP-303 removing an object from a scene. Incident 3036. Dr. R was discovered dead from dehydration in a second floor storage room. It is estimated that said doctor spent up to five days in the storage room before being discovered. A small four meter by four meter decompression chamber separated the storage room from the adjoining hallway. SCP-303 occupied the decompression chamber for the duration of Dr. R's isolation in the storage room, disallowing entry from either direction and making it impossible for the doctor to leave. Test log 303A. A team consisting of Dr. G, Researcher M, four security personnel, and four D-class personnel were assigned to be dispatched to any reported incident of SCP-303's materialization in order to immediately perform on-site testing. These logs take place at the door to room from the first floor hallway. SCP-303 was reported to be within room Test 3031. One male D-class personnel, D-3031, was ordered to open the door and threatened that he would be transferred to SCP-303's duty for non-compliance. He refused, citing extreme fear. Test 3032. One male D-class personnel, D-3031, was ordered to open the door and threatened that he would be terminated on the spot for non-compliance. He refused, claiming that if he were to do so, that SCP-303 would data expunged. He was terminated on the spot. Test 3033. One female D-class personnel, D-3032, that had witnessed the termination of D-3031 was ordered to open the door and threatened that she would be terminated on the spot for non-compliance. She refused, claiming that if she opened the door, that SCP-303 would data expunged. Researcher T was visibly shaken by this claim. D-3032 was not terminated. Test 3034. One female D-class personnel, D-3032, was ordered to open the door. One male D-class personnel, D-3033, was given one combat knife by security personnel and ordered to data expunged until D-3032 opened the door. After two hours of data expunged, D-3032 died from blood loss. D-3032 made no attempt to open the door. Addendum 5.110. SCP-303 appears to have claimed the second floor storage room as its own. It has so far disallowed any personnel entry to the room since 4510. It leaves periodically to acquire Foundation property, which is then moved into the second floor storage room. To date, the following list describes all non-classified items taken by SCP-303. One cryo tube. Three sets of standard Foundation surgical equipment. Data expunged. Two D-class research cadavers. One gasoline-powered generator. A variety of chemicals, including large quantities of tryptophan, phenylalanine, and tyrosine, among others. And one container of powdered coffee creamer. In addition to this, a number of classified materials have been obtained by SCP-303. Staff are still attempting to determine what specific purposes SCP-303 may have for these materials. Item number. SCP-305. Object Class. Euclid. Special Containment Procedures. SCP-305 is presently immobile. Site-305 has been constructed around its present location, a wooded canyon, near... It is staffed by at least seven personnel who have prior experience with SCP-305, and proved resistant to its effects. The remainder of the station crew should be rotated on a weekly basis. SCP-305's effect grows weaker if human subjects are exposed to it for extended periods of time. Therefore, a resistant subject should be exposed to it for at least three hours daily. SCP-305's effects are greatly magnified in individuals with feelings of guilt, particularly over crimes or mental instability. Therefore, Site-305 is staffed exclusively by non-D-class researchers and agents who were screened for criminal records and mental instability. Any personnel who begin to hear whispered compliments must be transferred out immediately if symptoms persist after removal. Frontal lobotomy, data expunged. The actual containment chamber of SCP-305 is constructed of standard materials and offset from the rest of the station by a five-meter buffer zone to protect normal staff from the worst of SCP-305's effects. Site-305 broadcasts a constant status normal signal to Site-19. If Site-305 becomes compromised during a containment breach, this signal will cease and a heavily armed containment team will immediately be dispatched to the location. Instances of SCP-305-1 are extremely dangerous and should be terminated on site without attempting containment. As of 2000, all attempts to extract samples from SCP-305 for study are forbidden. Description. SCP-305 is a rock formation of approximately humanoid size and shape. Remote recordings of SCP-305 show that it remains stationary at all times, even when interacting with human subjects. When viewed by a sentient observer, SCP-305 appears to be a mobile animate humanoid of indeterminate sex. This manifestation is formed of cracked rock, similar to SCP-305's physical form. And while it is faceless, subjects report that the cracks all over SCP-305's surface begin to resemble human lips and ears as it moves. Human subjects who make visual contact with this manifestation hear whispering voices, although recording equipment in the area picks up nothing, and the phenomenon is observed even in subjects who are deaf from birth. SCP-305 will initially ingratiate itself with the subject by whispering compliments. During this phase, the subject experiences feelings of friendliness and trust towards SCP-305. These sensations seem unrelated to the actual content of the compliments, which ranges from off to nonsensical and disturbing. A short list of reported compliments is included. You have beautiful eye sockets. Every one of your fingers. Your neck appears unusually flexible. In the second phase, the subject begins to hear many voices emanating from SCP-305. At this point, the whispers become critical, attempting to insult the subject or undermine the subject's self-esteem, especially by playing on the subject's guilty conscience. Like the compliments, these insults make little sense when recounted, but have a profound psychological effect, driving the subject to suicide before the final phase in 20% of cases. If the subject is removed from SCP-305's presence during phase two, the subject will hallucinate that these insults are emanating from mouth-like cracks that appear to form on the ground, walls, and ceiling. In the third and final phase, the voices will abruptly stop. Two to 10 hours from the cessation of hallucinations, SCP-305's humanoid manifestation will appear and kill the subject. Causes of death are varied, but include severe cardiac infarct, muscle spasm leading to severing of the spinal column, diaphragm paralysis, and... A subject who dies of any cause after the beginning of the second phase, data expunged, followed by the emergence of an instance of SCP-305-1 from the corpse. SCP-305-1 are humanoids, slightly smaller than SCP-305 itself. Unlike SCP-305, SCP-305-1 seem to be made of a smooth, hard white substance, and the lips and mouths on their surfaces are extremely lifelike. SCP-305-1 have the same abilities as SCP-305, and although they are created with a very short range of two meters, this range increases exponentially over time. SCP-305-1 move at 30 kilometers an hour and seem naturally drawn in a direct line towards the nearest densely populated area, presumably in an attempt to further propagate themselves. SCP-305-1 are highly resistant to bullets and cutting weapons. Elimination teams should be equipped with heavy ballistics and explosives. In subjects who have entered stage two, manifestation of SCP-305-1 can only be prevented by removal of 80% data expunged. Addendum 305-1. On 2000, Foundation personnel used a remote-controlled device to extract a sample of SCP-305's rock structure. SCP-305 began to emit loud grinding noises and a low growling sound. Existing cracks in the rock formation deepened, and several new ones formed in the vicinity of the removed rock sample. SCP-305 then moved its arms upwards slightly and slid one foot, about 10 centimeters, across the ground as if taking a step, shedding rock fragments as it moved before returning to its stationary state. Following this event, the range of SCP-305's psychic influence tripled, resulting in several data expunged. Sample proved to be ordinary sedimentary rock, consistent with the surrounding area. Follow-up x-ray scans of the formation itself reveal the presence of rock, suggesting that the rock formation may actually be an imprisoned instance of data expunged. Upgrade to Keter requested. Pending. Item number, SCP-213, Object Class, Euclid. Special Containment Procedures. SCP-213 is contained in a high-security humanoid containment cell within Site-77. The chamber is to be surrounded by a 10 meter wide zone filled with gaseous materials corrosive to human skin. SCP-213 should be informed as to the nature of its containment to prevent manifestation of its effect, which would result in additional containment breaches. A staffing of two guards armed with high-pressure hoses, oleoresin capsicum, and polymer web grenades should be stationed outside the containment unit at all times. Description. SCP-213 is an adolescent humanoid male, 1.5 meters tall, weighing 95 kilograms. SCP-213 is able to forcefully sever the bonds between atoms in any solid or semi-solid matter with physical contact. An intense flash of light is produced when doing so. SCP-213 can use any part of its body to manifest this effect, and has used it to disintegrate projectiles as they impact its body. Manifestation of this effect has proven to be extremely painful, with extended use causing enough pain to render SCP-213 unconscious. SCP-213 was recovered from Palo Alto, California when reports of a teenage boy being arrested for homicide after vaporizing his girlfriend during coitus reached agents embedded in the local police department. Further investigation revealed SCP-213's anomalous properties. However, during initial containment, SCP-213 vaporized the agents attempting to apprehend it. During the ensuing firefight with an MTF agent, SCP-213 was able to disable two agents before being contained. SCP-213's containment procedures were finalized in 19 and classified as Euclid. Addendum 213-07, SCP-213 has made its seventh escape attempt. After asking for another interview with Dr. SCP-213 waited for security personnel to allow her to enter the containment chamber. As the majority of the containment procedures were disengaged, SCP-213 was able to apply its effect to the remaining security measures and breach containment. SCP-213 killed Dr. as well as two agents during the initial stage of its breach. SCP-213 had only seen a small portion of the facility and was easily apprehended after it encountered heavy resistance from security. Breaking through its cell, weakened it enough to prevent further damage to other containment units. SCP-213 was apprehended in the site break room, attempting to break through the floor. However, extensive use of its effect left it unable to do so. Addendum 213-08, SCP-213 unintentionally breached containment in 2021. Due to the nature of this breach, no consequence has been issued. Video feed taken at 3.15 a.m. from SCP-213 cell show its bed and a section of the floor being affected, which caused SCP-213 to fall into a basement level. Containment procedures have been slated for revision. Researchers note, from the study of this video, it is clear that SCP-213's control of the effect is not as perfect as it previously believed and it has become more cooperative with us in trying to establish a method to control and utilize it. Vague conjecture on the part of the review staff as to possibilities of what would occur should the effect trigger accidentally, including SCP-213 self-vaporizing are noted as being particularly useful in this regard. Addendum 213-09, 1. During a routine physical examination of SCP-213, lesions were discovered on its back, appearing as smooth nodules. Presently, there are four nodules, placed at intervals on the subject's back in a perfect square. Distance between all four points is exactly 15 centimeters. Medical personnel have been assigned to SCP-213's containment in order to observe and rapidly respond to changes in this condition. Follow-up examinations have been scheduled. 2. A follow-up examination has led to the discovery of two more nodules, located in the center of its palms. SCP-213 reports mild irritation, but no pain or discomfort. They resist pressure applied with blunter, sharp instruments. During an attempt to excise a sample using a scalpel, the scalpel failed to cut and vaporized after a few seconds of applied pressure. SCP-213 denies responsibility for this occurrence. SCP-213 has become notably more apathetic and has expressed feelings of extreme pain from its back and stomach. 3. SCP-213 was moved to intensive care after being observed having a seizure in its containment cell. Examination of SCP-213 shows an additional 10 nodules have appeared on its back. A perfect distance of five centimeters separates each one. SCP-213 continues to report no pain from the lesions. SCP-213 has been assigned additional medical observers, who will remain outside its containment with the standard guard staff for the next week. 4. All nodules on SCP-213 have disappeared and been replaced with thin incisions slightly less than one millimeter in width. During inspection of these new changes, the medical examiner witnessed the incision on SCP-213's left palm open and an eye was observed watching her. SCP-213 has been placed in the medical wing indefinitely, pending further changes to the subject's condition. Addendum 213-10. The source of SCP-213's effect appears to be a parasitic infestation of unknown origin, inhabiting its body. This life form has not attempted to communicate, but does observe any persons in SCP-213's presence through the lesions present on SCP-213's body. SCP-213 has exhibited panic over this development and requested several times the entity be removed from him. Any requests of this nature from SCP-213 are to be denied, pending further research. Researcher note, the organism inhabiting SCP-213 fails to show up on any medical scan we have at our disposal. The new hypothesis is that this effect actually serves to provide sustenance and self-defense with repeated tests to determine the nature of the anomaly has led to increased growth. SCP-213 has been placed in a chemically induced coma until further research can be conducted regarding the nature of this parasite. Containment procedures slated for major revision. Lesson complete. To continue with your orientation training, subscribe to SCP Orientation right now and make sure you don't miss any of our upcoming videos.


This lecture is part of an online commutative algebra course, and will be about flat extensions of rings. So, and the problem is as follows. Suppose we've got two rings, R and S, and a morphism between them. So we can say that S is an R algebra, or it's an extension of R. And the problem we want to discuss is how do we relate R modules to S modules? Well, there are obvious ways to convert an S module to an R module just by restricting the ring action. On the other hand, if you've got an R module M, we can convert it to an S module just by taking S tensor over R of M. And this is in fact sort of a joint to the function of restriction. And what we want to know is how are the, if we've got modules over R, how are the corresponding modules over S related? Well, the most obvious question is, suppose we've got two modules, M and N over R, we can look at the homomorphisms of R modules from M to N. On the other hand, we can look at the homomorphisms of S modules from S tensor over R M to S tensor over R N. And we can ask, how are these related? Well, first of all, there's an obvious function from one to the other, because if we've got a homomorphism from M to N, then this obviously induces a homomorphism from S tensor M to S tensor N. So there's a function here. We can ask, is this an isomorphism? And it's usually not. In fact, there's no particular reason why it should be an isomorphism. For example, this thing on the right is an S module. And there's actually no reason why this should be an S module at all. There's no S module structure anywhere in sight here. So in general, there's absolutely no reason why there should be an isomorphism. Well, obviously what we forgot to do was convert this into an S module. So let's try again. Let's take S tensor over R of hom R M to N and map this to hom over S from S tensor over R M to S tensor over R N. And this is much better. You see, we've just applied the function from R modules to S modules to this R module. So now there's actually some reasonable chance that this will be a homomorphism or isomorphism. So we can ask, is this an isomorphism? And the answer is no. And there's a very easy count. For example, let's just take R equals Z, S equals Z modulo 2 Z. And let's take M equals Z modulo 2 Z and let's take N equals Z. And then hom over R from M to N is just zero because there are no homomorphisms from Z modulo 2 Z to Z, apart from the zero one. And now we can take S tensor over R of M. This is again Z over 2 Z. And now S tensor over R of N is now still Z over 2 Z. So the homomorphism over S from S tensor over R M, S tensor over R M is just Z over 2 Z. And you can see that this is zero. So even if we tensor over R with S, this is still zero and this is Z over 2 Z. And there's no sensible way to get Z modulo 2 Z from zero. And these are just not the same at all. However, there's one very important case in which this map is an isomorphism. So the map is an isomorphism if S is flat R module and M is finitely presented. So you recall flat means that tensioning with S preserves exactness. M being finitely presented just means first of all, M is finitely generated. So there's a map from R to the N to M to zero. So this is on two and N is finite. And furthermore, the kernel of this map also has to be finitely generated. So there's another map from R to the M onto here where M is also finite. So we recall that if R is notarian, then finitely generated implies finitely presented. So most of the time we're working with notarian rings and saying that M is finitely presented is just a rather variation of saying it's finitely generated. But the correct condition is finitely presented rather than finitely generated. This is one of the cases when being finitely generated isn't quite good enough in general. So how do we prove this? Well, so we want to prove that this map here is an isomorphism. And the first case, it's pretty much trivial if M equals R, because then you can homomorphisms from R to N is just the same as N and you can check that both sides are the same. And secondly, it's almost obvious if M is equal to R to the N where N is finite. This is because if it's true for M1 and M2, it's also true for M1 plus M2 because both sides are additive in M in some sense. So it's obvious, it's more or less obvious if M is a finitely generated free module. I'm going to emphasize that N has to be finite here. We'll see later that this does actually fail if N is infinite. So it's okay, we've done this if M is a finitely generated free R module. Now we're going to start with the exact sequence R to the M goes to R to the N goes to M goes to zero. And do you remember M and N are finite. And now we can apply a hom functor to this. So we're going to apply the functor hom of something to N. And you remember if we apply this functor to something it reverses the direction of all arrows. So instead of reversing the direction of the arrows which confuses me, I'll just switch the direction of the sequence. So we get hom from M to N, maps to hom of R to the N to N. This maps to hom of R to the M to N. So this is again exact and these are all homs over R so far I hope. Next, we're going to apply the functor tensoring with S. And here we use the fact that S is flat.  And this maps to S tensor over R of hom R R to the N to N. And this maps to S tensor over R of hom R to the N to N. And here, remember the flatness is used to show that we can add a naught at the end. Now, we start in the other direction and we take this exact sequence and we just tensor it with S again. So we're going to tensor this thing with S. So we start with R to the M goes to R to the N goes to M goes to zero. And with S we get S tensor R to the M goes to S tensor R to the N goes to S tensor M goes to zero and these are all over R of course. And now we're going to apply hom from something to S tensor over R N. So again, we have to reverse everything so we get naught goes to hom of hom over S tensor M to S tensor N and this maps to hom of S tensor over R with R to the N to S tensor M to S tensor M tensor N and this maps to hom of S tensor R to the M to S tensor N. And now what you observe is that these are all homs over S should point out. Now what you observe is that these two are isomorphisms by our result for taking M to be the finitely generated module R to the N or R to the M. So these are isomorphisms and this is an isomorphism and we've got a natural map going this way and we want to know if this is an isomorphism. So what we're trying that the theorem we're trying to prove is that this map here is an isomorphism. And now this follows from immediately from the famous five lemma. So the five lemma says suppose we've got a whole lot of modules like this. So I've got 10 modules which is why it's called the five lemma because someone got a factor of two wrong when counting them I guess. So here we've got two rows of five modules and this row we're going to assume is exact and this row is also exact. And these four things here are all assumed to be isomorphisms. Then the conclusion is that the middle one is also an isomorphism. So if we apply this to the previous diagram then we see immediately that it implies this is an isomorphism. And if you're querying we've only got four modules there instead of five as in the five lemma what we can do is just add zero there and zero there and you can see that this map is also an isomorphism.  So I will demonstrate diagram chasing what the five lemma really is it splits as two different lemmas. First of all there's one lemma which says that if you've got four maps here like this and if this is on two and this is on two and this is injective then this map here is also on two. So we're trying to prove that this is on two. And if we apply this to these four rows here we see it implies this map here is on two. And there's a similar thing with four other maps where this except that three of them would be into and the one on the left would be on two. So I'm just going to explain this one and leave the other one to you. And the proof can be indicated by the following diagram by the following path. What we're going to do is we're going to do some diagram chasing. We're going to start here and then we're going to follow the following path. We're going to go around there, around there then along here then back up to here and then down to here and then back up here and then along here and then down there and then around there and then end up here. And the thing about diagram chasing should never read anybody else's diagram chasing proof because they're quite easy to do, but they're very confusing to follow. So what I'm going to do is I'm going to sort of explain it, but you shouldn't make too much attention to the explanation. What you should do when you've seen the idea of the explanation is you should go off and try and do this for yourself. So what we do is we pick an element, say let's call it A here, and we're trying to prove that A is the image of something up there. So what we do is we follow this green line. The image of A is some element B down here, and then the image of B is zero here because this is exact. So if we come back to B here, we can take B as going to be the image of some element C here because this is onto, and then we follow C down here and down here, and we see that the image of C here is zero, and this map here is injective, so C maps to something that's zero here. And since it maps to something zero here, it must be the image of some element D here. And now we can take D down here to see some element E, and we ask is E equal to A? Well, what we can say is that E and A, both of the same image here, but that doesn't prove that E equals A. All it proves is the sum map here, which maps to E minus A. And then this map here is onto, so there's some element G up here mapping to F, and then this element G, we can pull it along to here and then down to here, and this element G will then map to E minus, it will map to E minus the image of A so that A can be written in terms of the image of this element and this element. Okay, so you see it's a simple, but really confusing argument. And as I said, you should take the other one, which I'll just write it out quickly to make it clear which maps are onto and which are injected and so on. So the other one we have to do, this map is injective, this map is injective, this map is onto, and this map here we want to know is injective. This looks a bit funny, because in order to prove this map is onto, it's reasonable these should both be onto, but it seems a little odd that this map here should be injective. If we assume only that this map is onto, then we can't actually deduce that this map is onto. You can see that this from the following examples. First we take zero to zero to Z to Z, and then we take zero to Z to Z to zero. Then you notice that this is onto, this is onto, this is onto, and these are exact, and this is exact, but this map here isn't onto. So we really do need to, in order to show that some map is onto, we need to show that some other map is injective, which seems a little bit odd, but anyway. Okay, so that ends the proof of the five lemma, which ends the proof of the theorem about homomorphisms of flat modules. Well, we're going to finish with an example to show what happens if M is not finitely presented. And if M is not finitely presented, then this result that we proved usually doesn't hold, and there are some fairly simple examples where it doesn't. So we can just take R to be the rationals Q, so it's a field, and we're going to take S to be the ring of polynomials over Q, so it's a really ordinary example, and S is flat as an R module. In fact, every R module is flat because R is a field, so all modules are free, and we're going to take M to be just at any infinite dimensional vector space. So M is not finitely generated, but otherwise it's as nice as it could possibly be. It's a vector space, and we're going to take M to be a one-dimensional vector space over a field again, about as nice as it could possibly be. And what we're looking is, we're looking at QX tensored with home over Q from M to N, and we're trying to compare this with the homomorphisms over Q of X from QX plus QX and so on to Q of X tensored with Q. So this is just Q of X tensored with M, and this is Q of X tensored with M, and we want to know, are these equal? And what we're going to do is to show that they're actually not equal. So let's just work out both sides. Well, M is just an infinite dimensional vector space, so the homomorphisms from Q to N is just Q, because that's morphisms from a one-dimensional vector space to itself. So this can be written as Q of X tensored with, well, we have to be a little bit careful here. This isn't an infinite sum of vector spaces, it's an infinite product of one-dimensional vector spaces, because the homomorphisms from an infinite sum of vector spaces to Q is an infinite product of the homomorphisms from Q to Q. So that's equal to that, and this on the other hand, well, homomorphisms over Q of X from a free module over the ring of polynomials to Q of X times Q of X. So this is again, just an infinite product of an infinite number of copies of Q of X tensored with Q. So now we've got to ask, is this equal to this? So here we've got an infinite product of Q and then we tension with Q of X, and here we're first tension with Q of X, and then taking the infinite product. So we can ask, does taking a tensor product commute with infinite products? Now it does commute with infinite sums, as we sort of showed earlier, and it certainly commutes with finite products, because a finite product is exactly the same as a finite sum, but tensor products do not generally commute with infinite products. And we can see this just by looking at both sides. So what's the infinite product of this? Well, a typical element of the infinite product of this will look like an infinite family of polynomials, F1 of X, F2 of X, F3 of X, and so on, with FI of X, just a polynomial in Q. On the other hand, what's this? Well, this can be written as the sum over all I of X to the I times product of an infinite number of copies of Q, and X to the I tensored with an infinite product of copies of Q is just a sequence A1, one X to the I, A2, X to the I, and so on. So if we take a sum of these over all I, what we get is an infinite sequence of polynomials, F1 of X, F2 of X, and so on, which looks exactly the same as that, except if you notice, we're taking a sum. So the I is for which this is a sum, I is for which this is none zero, have to be bounded. So here, all FI have degree less than or equal to some fixed number I. So the elements of this space here consists of sequences of polynomials whose degree is bounded, whereas this just consists of all polynomials. So we can easily write down an element in this space that's not in this space. We just take the polynomial, say, one X, X squared, X cubed, and so on, not the polynomial of the sequence. So these spaces are quite similar. In some sense, this space here is some sort of dense subspace of this space, and it's suitable to apology, but they're still not equal. They're similar but not equal. So this fails if M is not, in general, if M is not finitely generated. This is incident in example of the fact that the homomorphisms from M to N can be a bit weird if M is not finitely generated. If M is finitely generated and all modules are countable and this tends to be a countable module, but if M is not finitely generated, then even if M is countable, this space of homomorphisms can be uncountable. You see, we've got an infinite product which tends to be uncountable, whereas infinite sums tend to be countable. Okay, that's enough about flat modules for the moment, although we'll be saying plenty more about them later. And next lecture, we'll be moving on to discuss artinian rings and modules.