So this lecture is part of an online commutative algebra course and we'll be about functions On the spectrum of a ring so Let's start by looking at an example Suppose we look at the ring of continuous functions on a topological space X so X is compact House dwarf and this just means the continue real-valued functions on X So the elements of the ring of the ring are it's called the string are our functions on X and we saw earlier that X is more or less the spectrum of the ring are it's really the Spectrum of maximal ideals of our And you remember that are had some rather funny-looking prime ideals, which we will kind of ignore and This makes it easy to visualize the ring are because we can just think of the space X We think of R as being functions on X and the problem is can we do Something similar for any are In other words, we want to The elements of R should be something to do with functions on the spectrum of R and Well, the first question is what what should these functions take values in? So, so let's have a look here. So here the functions on X are taking values in the real numbers. Well, what are the real numbers? Well, if you take a maximal ideal of C of X then the maximal ideal kind of corresponds to a point of X. So this is just functions F with F of X equals zero and The function F is taking values in the field C of X over M of X of course in this case the field just happens to be isomorphic to the reals and we can do this for We can do something similar to this for any ring R. So so so now let's take R to be any ring Then for each prime ideal in the spectrum of R We get Well, we don't get a field we get an integral domain R over P And we can think of an element F and R as a function from the spectrum of R to Well, what we're doing is for each point of the spectrum of R. It's taking values in the The integral domain R over P at each point So let's see what happens so for example suppose we take R to be the Ring of polynomials over the complex numbers and then the maximal ideals Adjust of the form X minus alpha. So this sort of corresponds to the Complex number alpha in some sense and if we've got some function in in R For example, we might take F of X equals X squared Then we can look at the spectrum of Of C of X and the spectrum of C of X is more or less the complex line So there's the ideal X which kind of corresponds to point zero and the ideal X minus one corresponds to the point one and X minus pi corresponds to the point pi and so on and then for each of these points We've got a fiber Which is C of X Modulo whatever the ideal of that point is and all these quotients how to be isomorphic to the complex numbers Well, there's one slight exception because you've also got the ideal zero and Here we just get C of X rather than C of X over C. So if we think of Function F of X as such as X squared then Here it takes the value zero and here it takes the value one and here it takes the value pi and so on so This is really just a rather complicated roundabout way of saying we're drawing the graph of the function F So that sort of works except there's something funny going on at the generic point because this is no longer the complex numbers But we'll put that problem aside for the moment and Let's let's just take a look at what happens when R is the integer Z Well in the previous example All these fields Corresponding to the maximal ideals were all isomorphic to the complex numbers So we just had a function from the spectrum to the complex numbers If we look at Z things are a little bit more complicated because now we've got the prime ideals two Two three five and so on and if we look at the corresponding rings Z over two this now is two point zero and one for a Z over three now as three points Zero one two zero over five as Five point zero one two three four. So this is the integers mod five and if we look at a typical Element F in Z we want to think of this as being a function So let's suppose F is Eight say and now I'm going to think of eight as being a function from the spectrum of Z To finite fields so it's value at two is going to be zero because eight mod two is zero And it's value at three well eight mod three is two and eight mod five is three So so we can think of eight as being a function with a graph that looks like this so it's a bit of a funny graph because It's not a graph from the spectrum Z to a fixed space It's a graph from the spectrum Z to a varying space and again at the prime zero It's not quite clear what's going on. I mean we could take the Quotient my zero and then we would just get the Z and if we want to make this into a field We could take Q so we'd have a Q up here and it would kind of go through the point eight at Q So anyway, we can sort of try and picture Functions of rings as being elements of rings as being functions from the spectrum of a ring to some funny varying field Well that we don't only have a problem with this generic point here, but there's also another problem um so we've got a map from R to functions and we can ask is this Injective because If we want to represent elements of R as functions, then a non zero element of R should Minimum correspond to a function that isn't zero everywhere Well, when is when is the function corresponding to an element of f of our injectives? So suppose f goes to Sorry, when is it zero suppose f goes to zero in all the fields And r over p of I guess this is integral domain. So take the field r over p and Turn it into its field of quotients well F maps to zero in r over p is equivalent to saying that f is in the prime ideal p so f maps to zero in all These integral domains r over p means that f is in the intersection of all prime ideals So what is the intersection of all prime ideals? Well for the integers the intersection is just zero. So that's okay but Sometimes there are elements in the intersection of all prime ideals for example if a squared is not This implies a is in all primes Because if a times a is in a prime then a or a is in that prime Similarly if a to the n equals naught for some n greater than or equal to One this implies a is in all primes so We see a nil radical of the ring Which is the radical of zero which is just the set of a such that a to the n equals naught for some n Is contained in the intersection of all primes? so If r has a non-zero nil radical then we can't represent those elements as functions We can ask is there anything else in the intersection of all primes the answer is no in fact the nil radical Equals the intersection of all primes to see this we remember we had this this useful lemma last time which said that if we had a multiplicative subset disjoint from an ideal It means we can find a prime with P contain the ideal I and P disjoint from the multiplicative subset S so suppose a is not in The nil radical of zero then we take the multiplicative subset to be one a a squared a to the n and so on and we take the ideal I to be zero and we notice that S Intersection I is empty because no power of a is zero so we can find Some prime P with P Contains I which is a vacuous condition and P intersection S is is empty so No power So so a is not in this prime ideal P. So a is not in the intersection of all primes Anyway, we certainly get rings turning up in algebraic geometry number theory that have nil potent elements So we need to know how do we represent these as functions? Well, we can do this We consider F in R is is a function From the spectrum of R to The local rings are P instead of Modulo P So we're using localization rather than the quotient. So you remember this is we get this from R by inverting all elements not in P So when does F have image? Zero in our localized at P well, this happens when F s equals naught for some S not in P. So this was the condition for number to be zero in a localization It must be killed by something in the multiplicative set which are exactly the things not in P So suppose F has image naught in all the local rings are P for all primes P in the spectrum of R This means F is killed by some SP not in P for any prime P And now let's look at the annihilator of F, which is the set of X such that F of X equals zero So we see this is an ideal and we also see that the annihilator of F is Not contained in P for any prime P Well, in particular, it's not contained in any maximal ideals. So the annihilator of F Must be the whole ring R so contains one So one times F equals zero which I think you can see implies that F equals zero so If instead of looking at the quotient fit fit the quotient integral domains of R We look at the localizations then we can get something which catches the nil potent elements of R So so we think of R is a function With domain So we think of an element F of R as a function with domain the spectrum of R and at Any element P in the spectrum of R It takes values in the local ring F of P So if the ring has no nil potents then instead of this local ring F of P We can we can look at the integral domain R of P modulo P Which is an integral domain or which take its quotient field and simplify things But in general we have to use this local ring Well local rings aren't quite as easy as fields to deal with but they're still a lot easier than general rings. So so We sort of simplified the ring instead of thinking of a function as being an element of an orbit Instead of thinking of F as being an element of an arbitrary ring we can think of as being a function taking values in local rings and we can study each of these local rings separately and Hopefully obtain information about the ring from that So There's another property of C of the continuous functions on a compact house or space we should look at suppose That U is open and contained in X Then we can look at O of U which is the continuous Functions on you and this O is a sort of calligraphic Letter O Which is usually used in sheath theory we're about to construct a sheath associated to any ring and We're first going to look at this in order to get motivation for this And so what properties does O of U have? So properties Well, first of all if U is contained in V then For any continuous function on V. There's a sort of restriction map to O of U Second property is a sort of pre sheath called a pre sheath property Suppose U is covered by open sets U1 U2 and so on possibly infinite number of them Then if a function on U is not on all the UI Then F must be the zero function on the whole review That's just saying if a function is zero at every on every element of an open cover Then it's zero on the whole set and that's kind of obvious for functions And the third property is the sheath property So again, we assume U is the union of UI So let's just assume it's the union of U1 U2 and U3 Now suppose we've got functions Fi on the open set UI so F is a function on UI and suppose that Fi and Fj have the same image in O of Ui Intersection Uj So we can think of that meaning the function on U1 and the function on U2 Agree on the intersection of U1 and U2 then we can find F a function on U with restrictions Fi on in O of Ui So this is saying we can define a function locally on an open cover By defining it on each open set and as long as the functions We specify these open sets are compatible. This defines a function on the whole set U So for continuous functions on a topological space the sheath property and the pre-sheath property are obvious Well, what we want to do is define analogs of these for a ring So given a Ring up ring R with the spectrum Spectrum of R We want to define rings O of U for U open in Spectrum of R behaving like this What do I mean by behaving like this? It means as if O of U is the nice Functions on the open set U and it's not quite obvious how to do this because you remember functions on the spectrum of R are a little bit funny that the The space they're taking values in keeps changing whenever you change a point of R So it's not entirely clear what you mean by a nice function on an open set U Well, we will just look at At open sets of The form U fi. So you remember this is the set of primes such that fi is not in the prime P And you can ask what about other open sets and What we do with other open sets is we ignore them It turns out that 90% 99% of the time the only open subsets of the spectrum of R You are interested in of these special open sets Which are sort of the places where some function is none zero informally speaking and The other open sets are not too difficult to deal with they're basically just an irrelevant complication So What should O of U of F be Well, let's sort of draw a picture of what's going on. So here we've got the spectrum of R Which we think was being some sort of space and we've got some sort of function fi and The function Fi might sort of vanish at the spectrum of R. So this is the zeros of F by which we mean Primes P such that F is contained in the prime P So if we're thinking of F as being a function, these could be the If we're thinking of F as being a function to fields, these would be where the function vanishes So so the saying this is the zeros of F shouldn't be taken too seriously and U of F is the complement of this So we think of the zeros of F as being some sort of Codimension one space of the spectrum of R and the open set U of F is the complement of this this hyper surface And we want to know what are the nice functions on U of F Well, what nice functions can we think of? Well, first of all the elements of the ring are ought to be nice functions on this and secondly How about one over F because F is none zero on U of F. So we ought to be able to invert it So this suggests we just define the nice functions the nice functions O of U of F to be R together with the Inverse of F. So this is the localization of the ring R Um, so what we have done is we have defined What is called a sheaf we have defined a sheaf of rings on The spectrum of R and what the sheaf of ring consists of is a map taking each open set U of F I to the localization are the F I Inverted so this is a map from nice open sets of the spectrum R to rings And now we want this to behave like the map taking an open set of X to continuous functions on X And as we pointed out the the properties of this map were the Restriction property and the pre-sheaf property and the sheaf property So what we're going to do next lecture is to check that this way of assigning rings to open sets does indeed behave as if As if this assignment was just taking the nice functions on an open set This will allow us to think of a ring as being much closer to functions on the spectrum of the ring


Hello, this is LaptopMedia, and today, we will show you how to open the second generation Lenovo ThinkPad T15G and what's inside of it. Upgrading this laptop is pretty easy. First, on the bottom panel, you will find a service lid. Undo its single Philips head captive screw, and pry it with a plastic tool. This will reveal two Sodom ports for memory expansion, and two M.2 slots for storage. To continue, you need to undo a couple more screws, which will set the keyboard loose. Then, turn the device around, open the lid, and slide the entire keyboard upwards. After that, pull it away together with the secondary touchpad buttons. Be careful, as there are two ribbon cables that you need to unplug. Then, you will see a metal cover, held in place by three Philips head screws. Undo them, and slide the cover upwards to remove it. Ultimately, this leads to the rest of the upgrade options. Here, you have two more Sodom slots, that combined with the two on the other side, support up to 128GB of DDR4 RAM. Also, you can see a third M.2 slot for storage. If you want to continue with the teardown, and take a look at the cooling, you need to remove the entire bottom panel. After you undo all of the visible screws, remove the SIM card tray, using an ejection tool. Then, pry the bottom panel with a plastic tool and lift it away from the device. Please remember, it would be of great help to us if you just hit the like button and subscribe to our channel. That would motivate us to make even more and better videos for you. The battery inside has a capacity of 94W hours. It lasts for 10 hours and 30 minutes of web browsing, or nearly 8 hours of video playback. To remove it, unplug the connector from the motherboard, and unscrew all three Philips head screws. As far as the cooling goes, there is one huge heat pipe cooling the CPU, while another one is shared between the processor and the GPU. The graphics card also gets two more heat pipes. As you can see, there are four heat sinks, and two fans, as well as a couple of heat spreaders, meant for the graphics memory and the VRMs. If you'd like to see more disassembly videos of the latest notebooks we would highly appreciate if you hit the like button and subscribe to the channel.


What's good, George. We're lost back again with another video somewhere. Check out 10 times. Hulk Hogan refused to do the job. Brother, this should be a very interesting one. Is it if there's anything that we know about Hulk Hogan? Hulk Hogan was all about making sure he was the top guy. And for a while, he was the top guy in wrestling. He was one of I mean, he's still one of the most notable names in wrestling. Everyone knows who Hulk Hogan is, anyone he's done for the business. But we also know his ego was just massive.  And he was the type of person you would literally have to run him over with a vehicle while the referee is not looking only for him to possibly put you over. And he was still kick out. Well, he'll try to kick out at three, you know what I'm saying? At the last possible moment, you may be able to get a win off of Hulk Hogan because he all he was all about protecting his character. So we're going to check the times where he he was like, no, I'm not losing to this guy. He can hit me with a meteor. I'm not losing to this guy. Should be an interesting one. Appreciate all love and support to get right into this one, man. I'm think Kulta maniacs Hulk Hogan didn't become Hulk Hogan just by saying his prayers and eating his vitamins, dude. You see, the Hulkster got to the top of the wrestling mountain based on his mark ability, charisma, ability to sell and show emotion and his enviable winning record. Jack, really tasting defeat inside the squared circle. Hogan only lost to people when he felt like it made sense from a business perspective or, you know, would ultimately benefit him in some form or fashion. Consequently, there were a few stars that Hogan wouldn't lie down for, even when sometimes that was the plan all along. And I mean, really, what are you going to do, brother? When the Hulkster doesn't want to do the honours for you? I'm Adam Pacezzi from Cultaholic Wrestling and these are 10 times Hulk Hogan refused to do the job, brother. But first, when you need the best possible protection, who do you turn to? Brock Lesnar. Brock Lesnar. Let's get right into this one, man. Machu. Machu. Machu that should buy rights have headlined WrestleMania 8 didn't get its due on pay-per-view until 1994. Ric Flair was Hulk Hogan's first WCW opponent after the Hulkster's much-hyped signing that summer. Squaring off at Bash at the beach, Hogan- The match that- and Ric Flair. The match that should buy rights have headlined WrestleMania 8 didn't get its due on pay-per-view until 1994. Ric Flair was Hulk Hogan's first WCW opponent after the Hulkster's much-hyped signing that summer. Squaring off at Bash at the beach, Hogan defeated Flair in his debut to bag the WCW title. Business as usual, according to the original plan, the Nature Boy was supposed to regain the title in the rematch, setting up a third and final bout that would, of course, be won by Hogan. Instead of an actual victory, Ric could only defeat Hulk by count-out at Clash of the Champions the next month before taking a nail in the trilogy concluding Steel Cage retirement match at Halloween Havoc. Hogan apparently didn't believe WCW fans were ready to see him lose, much less drop the title so soon in his run and use the old creative control car to put the kibosh on the proposal. Hulk would only drop the title at Halloween Havoc 1995 to the Giants and even then it was by disqualification and the result was pretty much declared void a week later anyway. Number nine- Bro, he didn't even wanna do the job for Ric Flair. That's- that should let you know. That should let you know who we're talking about here. In Randy Savage. Randy Savage and Hulk Hogan squared off hundreds of times in matches on pay-per-view, television and on non-televised live events over a 15-year period. That's crazy. You would think that after so many in-ring meetings the macho man would have won at least one pinfall victory over his rival-come-partner-come rival. Well, you would think wrong because outside of some DQ and count-out victory, Savage failed to ever score a one, two, three on the Hulk star. How is that possible? I don't even know how that's possible.  It's a bull. Is it that's across many years and two companies nobody saw the business sense in having Randy win at least one single solitary match even via nefarious means to build interest in a rematch down the line? Or is it that Hogan always made his mission to always look stronger than his mega-powers partner? Hulk loved working with his real-life frenemy because Savage drew money, was good in the ring and could make Hogan look as good as anybody. And while he's never explicitly come out and said I refuse to do a job for Randy, it is telling that it never happened even when it seemed like the logical money-drawing thing to do. Yeah. Number eight, Steve Austin. Oh, I definitely heard about this one. When Hogan returned to WWE in February of 2002 most fans assumed he would immediately be set on a course for a collision with stone cold Steve Austin. With WrestleMania right around the corner, it seemed absurd that the rattlesnake and the Hulkster wouldn't lock horns on the grandest stage of them all. As we all know, Hogan ended up stealing the show with The Rock while Austin got Scott Hall as a consolation prize. As well as a general belief that the match would be a bit of a clash of styles, one issue in getting Hogan versus Austin in the ring was the small matter of who would win and who would lose. According to those in the know, neither man was willing to do the favors for the other. Many years later, Hulk would say and I quote, I wish I could have put over Steve Austin. Hogan says a load of old bollocks. Why didn't you just do it? Granny, we got a classic match in him and Rock. That was classic, fantastic actually. One of the best WrestleMania matches of all time. That crowd was electric. But imagine if it was stone cold in that place too. I think it would have just been, that would have been even more crazy because pretty much after Hulk Hogan, the next biggest star was like Mega Star, which I'm on Mega Star. We got the superstars and then we got the Mega Stars. After Hulk Hogan, the next really mega star was Stone Cold. And then you can really interchange between Stone Cold and The Rock, but most people will generally say it's Stone Cold. And Stone Cold versus Hulk Hogan, you got to put Stone Cold over it.  Ah, brother, I should have did that years ago. I should have put over Stone Cold, brother. I was tripping. Sometimes, doesn't he? Austin and Hogan teased the match several times in the years that followed Mania 18, but it never ended up happening. It would have been absolute box office if it did, but getting them to agree on a finish would have been a job in and of itself. Number seven, Terry Gordy. This is not so much a case of Hulk Hogan politicking his way out of losing, but more of a unique situation where he is a contracted WWE star with being protected on a show that Vince McMahon was co-promoting with other companies. Hogan was scheduled to take on Terry Gordy at the Pro Wrestling Summit on April 13th, 1990. Sharing the bill with the likes of Hogan, new WWE champion, The Ultimate Warrior, Randy Savage, Jake Roberts and other WWE stars were some of the top dogs from all Japan and New Japan. WWE's only demand going in was that both Hogan and Warrior had to win their matches. Gordy, theorizing that he made his living wrestling full-time in the Far East and couldn't afford such a high-profile loss, backed out of the match at the 11th hour. Damn. Enter Stan Hansen, a man who had wrestled Hogan when he was still known as Sterling Golden to save the day and stare at the lights for Vince McMahon's hot dog-skinned golden goose. Wow. Malaria had no issue doing a job for Hogan in the televised Tokyo Dome Spectacular, but there was simply no way the reverse would have went down. Number six, Brock Lesnar. After the initial nostalgia rush of Hogan's 2002 return war off, Vince McMahon decided the best way to utilize the legend would be for him to help give the rub to the up-and-coming stars of the day, which is why Hulk teamed up with Edge for a short tag title run, tapped out to Kurt Angle on pay-per-view, and was positively mauled by Brock Lesnar on SmackDown. The destruction job at the hands of the next big thing wrote Hogan off television, but Hulk himself believed he would only be gone until he was ready to come back and avenge his loss. WWE wanted to book the rematch, this time for Brock's undisputed title at Survivor Series, but they had zero designs on Hulk waltzing back into the picture and dethroning Lesnar. On the contrary, they wanted another dominant and decisive victory for the champ. And too thrilled with the prospect of suffering major back-to-back losses, Hogan said, no thanks, brother, and opted to stay at home a little longer instead. He only came back in early 2003 to reignite his rivalry with The Rock and start a new one with Mr. McMahon. Number five. Yup, that's it. He was like, no, I'm not doing the job. He could have did the job, but he was like, no, I'm not doing that. He's already beat me one time. He, no, no. You know, I'm, no. Bret Hart. Bret Hart was fine with Hulk Hogan's spotlight-stealing antics at the climax of WrestleMania 9 because he knew in the back of his mind that the new world champion would be giving him the belt back at that year's SummerSlam. At least that's how Vince McMahon had pitched things to the hitman. Bret was under the assumption that he and Hogan would headline SummerSlam in a rare babyface versus babyface match which would see him cleanly beat the Hulkster in a true passing-the-torch moment. Well, absolutely none of that worked for someone, brother, and so Hogan instead dropped the strap to Yoko Zuna in screwy fashion at King of the Ring. According to Hart, he was furious with Hulk's attitude change, especially after they had supposedly shot a tug-of-war style magazine cover to promote the mooted match and chewed terrible Terry out backstage at the pay-per-view. Bret contends that Hogan told Vince that the excellence of execution wasn't in his league and would never put him over in the middle. Hart continues to hold the grudge about it to this very day. Number four.   He's gonna drop it to you. You're thinking, oh, that's awesome. That's the ultimate rub. Only for him to do some backstage politicking.   The incident between Hulk Hogan, Jeff Jarrett and Vince Russo at WCW Bash at the Beach 2000 remains one of the most controversial in wrestling history. Everyone involved has their own story as to why things went down the way they did, but the upshot was Hogan leaving the company and subsequently taking them to court over what transpired. The whole charade to recap saw Jarrett lay down for Hogan in their WCW title match, after which Hulk cut a semi-shoot promo deriding the backstage chaos in the promotion at the time, only for Russo to then come out later, which wasn't scheduled and deliver a scathing character assassination on the Hulk star. This all came about because Hogan wouldn't drop the title to Jarrett as Russo had wanted. Jarrett, who was disgusted by how the whole scenario unfolded, has somewhat tried to defend Hogan in the past, noting that he believes Hulk would have lost to him as asked, had he known what it was all leading to down the road. Since Russo didn't know why he was hamming the dinner that night, let alone what Hogan's creative plans would be moving forward, the champ took his belt and went home, never to return. Number three, Shawn Michaels. The Hulk Hogan Shawn Michaels situation is another where the players involved had their own versions and things have become so muddled over time that you end up not exactly sure just what the hell went on. Michaels maintains that the idea was to do a best of three series with Hulk winning the first match, Shawn the second match and Hulk the third. Whatever this summer slam outing however, Hulk informed WWE that it would now be a one and done and that he would be going over naturally. This the heartbreak kid says is why he went out and oversold much his opponents offense and then cut a sarcastic promo on Raw the next night talking about how fast and agile Hogan was in their match. Hulk for what it's worth says that he was prepared to have more batches and even put Michaels over but decided against it after Shawn's mocking promo. In any event, nothing changes the fact that Hulk Hogan for whatever reason refused to lay down for Shawn Michaels. Don't know why. And it was one of those things where that match because of that situation is still one of the funniest matches. I may have to show dub that match on our Patreon.  You're Mr. Untouchable, right? I'm gonna show everyone why you're the greatest.  All the times HBK neglected to drop titles and do favors in the 90s, it's hard to feel too much sympathy. And then you gotta always, hey, it's one of those type of things where like, he was that guy that didn't wanna do the job for a lot of people. He was that guy. So it's, you know, I guess you could say karma. To the for him. Number two, Sting. WCW expertly built the main event of StarCade 1997 for over a year to the point where fans were desperate to see Sting finally get his hands on world champion Hulk Hogan. The only conceivable outcome after so much time, effort and energy spent was for Sting to beat Hogan black and blue. And let's face it, still orange before either making him tap out to the scorpion death lock or pinning him after a scorpion death drop. According to Eric Bischoff, the Hulk stare exercised his right to creative control on the day of the show when he said he wouldn't be putting over the man in the face paint after all. Cue a ton of tension and a mad scramble to come up with something palatable for the paying audience. Hogan eventually relented and said he would lose the match but then allegedly bribed referee Nick Patrick to deliver a normal three count in place of what was supposed to be a fast one so that it looked like Hulk beat him fair and square. The icon then got a cheapened win after Bret Hart who was acting as if a fast count had indeed taken place, restarted the match. An all time terrible finish and an early nail in WCW's coffin all because one person didn't want to do business. Let's just take the normal pin. That's so convoluted. That's like if Roman Reigns, we go back to this year's WrestleMania. That's like if Roman Reigns gets pinned by Cody but say he has to foot on a rope but the ref doesn't see it. Like that's like that type of situation where you're like giving some type of out or whatever and it's like, wait a minute, what? You know what I'm saying? Like he just, you know, everyone would be excited. Oh my God, he won. You know what I'm saying? Cody got the job done. Then the ref out of all the times look at the replay. They restart the match and then Cody loses. It takes the excitement and the buildup of everything that you've been working towards for a match that people have been wanting and you throw it all away because one person doesn't wanna do the job clean. I don't know. Yes. Number one, Randy Orton. A year after the Shawn Michaels fiasco, Hulk Hogan was back to once again flip the script and ensure he walked away with a fresh entry in his win column. The Hulkster had been feuding with Randy Orton in what was really a glorified excuse to promote his daughter Brooke's dreadful album. As a full-time member of the roster with some serious upward momentum, you would have put money on the legend killer hitting an RKO and pinning the legend to end their rivalry. And that is perhaps why you should never put money on something that is predetermined or rather why you shouldn't put money on the outcome of a match where one of the participants has full creative control over their character. Orton at this stage in his career didn't have nearly the backstage influence he would wield in later years and to be fair was probably on thin ice after serving a 60 day suspension and he was duly outfoxed by the Wiley veteran who scored the clean pin with the usual after a basic 10 minute contest the last in Hogan's WWE career. Going out by beating a 26 year old on the second biggest pay-per-view of the year, 4D chess brother.  He kinda had no other choice but to let Hulk Hogan do that. He had no other choice, so. But yeah man, this is a very interesting video. It's all about Hulk Hogan pushing his power brother and backstage politicking. That's literally what it is, man. Comment down below, let me know some other wrestlers that you feel like Hulk Hogan should have did the job for if they weren't listed in this video, man. Let me know down below who y'all feel like Hulk Hogan should have put over when he had the opportunity and chance to. I appreciate all the love and support that you guys show on the channel. Roll to 950K and I'm still here on this video. You're watching Champion of the World. Appreciate y'all kicking in with me. See y'all in the next one. Peace.


Ladies and gentlemen, she's back. What's going on guys? My name is JackTheBuster. You can call me iSnowBee. Today We have episode 82 of our Attack on Titan watchtower called Sunset. Last episode it ended with Annie's return after all this time season one The last time we saw her and I don't know how you're even remotely supposed to catch her up on everything that has happened But maybe they'll try. Aside from that I have no idea where they're gonna cover this episode with the rumbling and Aaron's Trek still towards Marley possibly touch on Connie's you know kidnapping of a Falco. Aside from that If you knew she don't chop us up hit that big way best for me see future episodes don't like on this one Let's just hop right into it So do you think they'll be able to catch her up in one sentence or less on what's been going on since she's been frozen Okay, could you do that? Yeah, uh Titan Yeah, that's one word impressive, right? Was the dream brother I Necessary evil It's interesting they're focusing on hitch like her perspective. I guess we haven't really seen outside. Oh Is that where Annie was? Oh For some reason I thought she was in the main city that makes way more sense. She knows that's why they're focusing on her. Yeah She's got her wits about her God so weird seeing her again. I see like the female Titans eyes. Oh Just throws her down She gonna go she wanted to ask things Wait she could hear what That's terrifying it's like a little lucid dream not lucid dream sleep paralysis You She actually like the whole key to all of this though Remaining yeah, I don't know if she could just turn the tide I don't even know what way you would turn the tide at this point.  Oh plot twist Wonder if she was so good at it Dude is billed There's all the ends of Marley those are only worth Oh my god It was his whole goal he was happy She's like, why are you telling me this Dude An emotional bond with her It showed him whenever Aaron spoke to everyone he was like one of the main people they focused on I Know her father like men that much to her though Just outrun them just to be faster.  He's been gone for a minute.  I wonder when they're gonna see Annie. Actually. Yeah for real. I mean they know though He said if that melted then yeah, he's out That's true, yeah Where is peak right now Where's peak and Reiner Reiner? I don't know where he is. He's still in that house. Oh, I think so. Yeah Dang Armin we got so many out. They have to have all their cards they possibly can Dang there's no contacting Aaron I don't know Millions enemies Too many people to worry about Yeah, Aaron's the last thing. There's like you can even talk to him. It's not much you can do to change it That's so don't say something that's so sad Did he take it Is she going after Connie I think so, yeah I was gonna say is she ever gonna Does kind of look more like a Mia low key. Oh my Oh I love just all the titans in the background still The principle of the matter I think I Thought it was gonna cut to them I swear dude wait Connie told him he's helping him Oh, no, that's so sad He's psychotic it's pushed him to Oh There's no way Connie goes through with this. There's just no way he's so good at heart Dude they have so much content they play the credits during that Oh Who's peak on the commander wait, what if they see Levi and No, please stop why He's gonna come back with some sick scar We've got bandages over one eye. Do you think he lost an eye? He had to like lost an eye or something? Yeah, maybe okay at least it got to some some former fashion of Levi this episode I thought Annie was gonna be like more shocked about everything Well, I guess cuz she could hear the entire time, but she was so casual. I guess that's Annie though She's just so chill about everything. I don't know dude This is like into the world stuff and you're just like well My dad ladies and gentlemen that has been it for the episode dude I literally every episode feels like five seconds long and it feels like they have still so much to cover at this point I love every episode with every fiber of my being but knowing that we're getting closer and closer to the end makes me so sad We've known all these characters and so chaotic at this point that I feel like when it all comes to a close I'm gonna feel really empty in a sort of way that sounds so depressing. I'm sorry Banger of an episode glad to have Annie back a lot of loosens a lot of perspectives for us to check in on every episode at This point be sure to drop a comment down below me I thought the episode we thought my reaction any predictions for the future of this show if you haven't read the manga and as always I hope you guys have a wonderful rest of your day as per usual. I'll catch you in the next one. Peace. Peace