Chris Moore, what's up, man? What's up? Can't be mad at that one. I did a last thought right here. Posey, what's up, baby? What's going on, Justin? Hey, I appreciate it. You shout out the poppin' over, man. That's how we get some defense. Hi, this is Chris Moore from the Baltimore Ravens. You're watching the Ravens videos. If you like it, please subscribe and click the watch. I'm just engraving here with another video. And in this video, we got a game coming up this weekend. A game coming up against the Atlanta Falcons. Team Keep It Clean, we got the Falcons. And this time, they're not coming to town. We're going to their town. And I know a lot of Team Keep It Clean is going to be out there at the Falcons game. So, y'all, I know y'all going to represent, man, for Ravens. I know y'all going to be loud, man. Be louder than the Falcons fans. Be louder than all the fake noise that they used to pipe in at this old stadium. Be loud, man. Be loud. Have fun. Enjoy it. This is going to be a tough, tough game as every single game is. Some of y'all might think, oh, that Raiders game wasn't tough. No, that was a tough game, too. They made adjustments and they had to dumb it down because I felt like in the first half of the Raiders game, Marty, he was just trying to do too much. Trying to prove to too much people too much stuff and he didn't have to do all that. He didn't have to. He didn't have to. He was so effective, so why didn't they run more earlier? Beats me. It also beats our offensive coordinator. My guy, Mike Harrington said he thinks with Marty Morninweg that he has a play card. He has an index card with three plays on it and he just picks random plays and then he said Marty probably thinks he has six plays because he just flips it upside down. And it's all the same three plays but just in a different order. So, that just shows the lack of creativity by Marty Morninweg. But that's been a problem from jump since he's been here. That's been a problem. He tends to go away from what works when if what's working is working, then why are you going away from it? But hey, that's Marty. Like Marty Ball, right? That's what it's called and Marty. But anyway, shout out to my boy, Rebel, not Rebel. So, we got the Falcons. We got Matt Ryan. We got Tevin Coleman. We got what's his name? Pete? Is it Isaiah Pete? I forgot the other running backs name. We got Julio. We got Julio Jones. We got Momison. We got Calvin Ridley. We got Hooper. We got Did they still have Toilolo? I know some of my Falcons fans, they call him Toilet Man. Because they didn't like them. They didn't like Toilolo, man. It's gonna be tough. We got Alex Max. Returning to playing against the Ravens. We used to see Alex Max two times a year. He's still on the Falcons right here. But anyway, boy, that offense, man. Even with Luz and Devonte Freeman, they're still dangerous. They're still dangerous. Well, Falcons are like four and seven right now, I think. Their record is bad, but their team, they have been decimated by injuries. They have had one guy fall after another after another after another after another. This week, they're supposed to be getting one of their biggest guys back. That being Debo, Deon Jones. They're supposed to be getting him back. And that's a big, big, big addition. So I expect him to have an impact on this game big time, because that dude's a beast. But yeah, we go against that offense that just, they know how to put out some points. They know how to put out some points. So Jimmy Smith, Terry, Tavon Young, Brandon Carter, Levine, Eric Webberman. Oh, Eric Webber and Chuck Clark. Come on, Chuck. Chuck gotta have a bounce back game. But anyway, Chuck Clark, this is a game. This is a game right here. This is going to be a tough, tough, tough game for that defense. CJ Mosey covering tight ends across the middle. Ha. If you play fantasy and you got any of the Falcons tight ends, you should go ahead and start them. You should start them. You should start them. But anyway, this, what our defense has to go up against in this game is an extremely difficult task. You have you have three starting wide receivers that we're going up against. Three. Three. Muhammad said, no, we used to play against him two times a year too. Back when he was with the Bengals, man. So we seen a lot of old faces. But anyway, you have three starting caliber wide receivers. One of them who a lot of Ravens fans are they get sad every time he catches a touchdown. That being Calvin really, because a lot of them wanted us to get him. A lot of them thought we were going to get him. And every time he catches a touchdown and makes nice play, a lot of Ravens fans cry inside because they like, man, we had plenty of chances to get him, but we didn't. So, yeah. Anyway, he again, with him, like always say, even if Baltimore would have got him, I wouldn't expect much out of him. Just because of how they do. They don't play their young wide receivers, even if they would have drafted him in the first round. He probably would have been third or fourth string receiver. Probably would have been on special teams. He would have been on pump return. No, he did. That's just the end they would have signed. They still would have signed all their vets. So, yeah. I just, I just can't see it. Like a lot of people do with Juju. A lot of people say the same thing about, whoa, we should have drafted Juju over Tyus Bowser. Yeah, true, but they would have been using them both the same way. See, Tyus Bowser, second round draft pick. Second round draft pick. Drafted ahead of Juju. Smith Schuster. Second round draft pick. Special teams. Barely comes in on defense. That's it. Still is Juju Smith Schuster. Second round draft pick is Starter. Beast. They do things a little different over here in Baltimore. But anyway, our defense has such a tough task. And we have, we have the task of having to stop all three of those guys. Who is going to be matched up with who? Well, let me tell you. I think Jimmy Smith should take Julio. I think Jimmy Smith should take Julio. And I think Marlon should take Calvin Ridley. But what about Sanu? Sanu's still a beast too. Tavon Young against Mohammed Sanu. Ooh. I wouldn't want that one. It's like Sanu would just out body him. Brandon Carr. Well, Tavon Young means he's still hurt. He might still, he might miss this game. So take him out of the equation. Brandon Carr. They used Brandon Carr a lot in the slot last week. So I expect him to do it this week. They got three starting caliber wide receivers. We got three starting caliber corners. So this is a good match up, man. This is going to be such a good tough, tough match up. CJ Moseley. While he, a lot of people feel like he's been having some good games past two games. But the middle of the field still gets taken advantage of. But the thing about CJ Moseley, what's been happening in these past two games, why he's been having good games, is because the teams have stopped throwing to the middle of the field. He's still in the beginning of the game early in the games. He gets caught on for a big game tight end when he's in man coverage.  But then, as the Ravens make adjustments and they fix that issue, I don't know exactly what it is that they do. I'm going to try to pay more attention in this Falcons game. But they make the opponent stop throwing over the middle. So, please keep doing that, Ravens. Please. Um, because the tight ends, oh boy, the tight ends are we're going to need Kenny Young to step up, too. We're going to need Kenny Young to step up. CJ Moseley to step up, just to really the entire defense, of course. That's for sure. The pass rush. Pass rush. Picked today to have another good game, even though the game wasn't really good against the Raiders. It wasn't. Pass rush ain't show up until the very end of the game. Ain't show up to the very end of the game. And I think what, I think just Matt Judon with those three sacks, right? Did anybody else get a sack? I can't remember, but our pass rush was bad, that entire game. Then they showed up at the very end of the one-dimensional. See, we need to show up early before the Falcons can get one-dimensional. We need to show up early. Um, because if you give Matt Ryan time, Matt Ryan's going to look for them deep passes, man. He is going until then. He ain't afraid to throw them, either. He got some of the best receivers in the NFL. He got one of the best trios in the NFL. He is not afraid to throw that ball. They love throwing a ball in Atlanta. They love throwing a ball. And they are going to do that. They are going to try to push that ball downfield. They love the big chunk plays and they got the perfect guys to get doing with. They may even throw in a trick play, too, with Muhammad Sanuk. You know, he could throw the ball as well. So we just got to be so careful. And we just got to be on point. Eric Guetto, Chuck Clark. This is a such a huge game for them. Them being on the back end, them being our safeties. Those being the last lines of defense. Eric Guetto and Chuck Clark. Do you trust those guys going in the battle? Well, guess what?  Got no choice but to. So hopefully, they can do a good job. I'm more concerned with Chuck Clark not based off of ability but based off of the mental part. And with Eric Guetto, I'm concerned with him not based off of the mental part but based off ability. So those those intangibles, man. It's the intangibles that are going to make the difference in this game. So this is going to be rough. The run defense. We can't let the Falcons run on us, man. We can't let them get run happy. We can't let them get going on the ground. We have to try to force them to be one-dimensional. So if Matt Ryan does a play-action nobody will bite on it. We have to make sure we attack Matt Ryan. Because when he's attacked get that pressure in his face, man. Don't let him step up in the pocket. If you miss a sack behind him, you got to hit him straight up, man. Straight forward. Because once Matt Ryan, and it happens with enough quarterbacks with Matt Ryan, once he starts getting hit you start hitting him enough times. He going to be looking over looking over his shoulder.  So we got to they got to get that pass rush going early. Early, early, early. Early. We don't want to be in a shootout with these guys. We don't want to be in a shootout with nobody. I just want to beat them. I want to beat them. So the defense is going to have to attack them, man. They're going to have to attack them. Get in the backfield. Be disruptive. And that's especially because we don't want him getting the big play on us. We can't afford that. We just can't. And also, again, the safety's on the back end. You just got to be ready, man. And what I'm worried about in this game is the pass rush because excuse me. We don't want, you know those plays that get extended when the corners are running with the receivers for a long time. Those are the plays at the Falcons Feast on, man. Those are the ones at the Falcons Feast on because that's when Matt Ryan has more time and he's looking looking looking and then Julio Jones decides, you know what, I'm going to break on this route and just go deep. 60 yard completion. Boom. Just like that. So we just got to be ready for all of that stuff. That's why the safety's got to be on point and the defensive line got to be on point and of course everybody in between. Linebackers, cornerbacks, all of that stuff. This is such a big game. Such a big game. Special teams Justin Tucker kicking in a dome we found with that. We really found with Justin Tucker kicking anywhere. We don't really have worries about Justin Tucker. We trust him one thousand percent. That's our guy and he's earned our trust. Even after that whole Saints thing. Who lost trust in him? Did I? No. Should you have? No, of course not. Because it's Justin Tucker. For him to for that to have been his first mistake in like his, not necessarily his first mistake in his career, but his first extra point in his career.  So he has been great for us. So with him, I'm not worried one bit. Sam Cooke again, putting in a dome that should be good. They should be good. The kicking game and pun game should be great on Sunday. Special teams is not a concern in this game at all. Cyrus Jones do I expect him to get another punt return for a touchdown? That would be nice, but I just expect him to continue being a solid contributor. Being comfortable back there. Just being always ready, because like I said, he always looks ready to take off. So I expect that to continue. And then of course in the kick return game, Chris Moore expect him to still be solid back there. He's another one. He looks like he's always ready too. And we already know what Chris Moore can do back there, kick return. Could they possibly put Cyrus back there? That's something to think about. But yeah, I expect all of that to continue. But now now let's flip it to the other side. Offense. What everybody's going to be focused on, what everybody's going to be thinking about, talking about, wondering about Lamar Jackson. Very first away game. Very first away game. And in this game, this game probably features the best offense that he'll have to go blow for blow with. Hopefully our defense doesn't make it no blow for blow game. But if it is, so be it. Well, okay. So we're going to see what Lamar has on his first roll game. Very first roll game. So this should be fun. This should be fun. Of course there's a lot of people that's doubting him. But I mean, we already know how that goes. A lot of people don't want to change. A lot of people just hating for no reason. A lot of people not even giving them a chance. But we talk about that in plenty of videos. So no need to even really get into that. Because we know there's going to be plenty of people that come in the comment section of this one. And say, oh, Lamar can't do this. He can't do that. Because there have been people that ask and say, oh man, well Lamar if we down by 14, then he's not going to be able to bring us back. If we down by 21, he's not going to be able to bring us back. Have we been down in a game with Lamar Jackson by 21 before? Have we been down in a game with Lamar Jackson by 14 before? No, we haven't. Because we haven't. So with somebody saying, oh, he's not going to be able to bring us back if we down multiple scores. That's foolish. That's foolish because that's just going off of assumption. You don't know that had he been in several games and been in a lot of games and been down by multiple scores and bring the team back. Okay. If that was something that he did habitually, then I'd be like, okay, understood. But this is literally his third game. His third NFL start. This is his third NFL start. And people, again, yeah, they look at the numbers. They look at a piece of paper. They don't look at the game though. So this is what it is. So Lamar, this is the opportunity to continue doing what he's been doing. Does he put up the prettiest numbers in the world? No. Does he put up them sexy stats in the past couple weeks? No. What's the most important stat for a football team though? Win-loss record. Win-loss record.  You don't pick who's on your schedule. You just got to go out there and play. Because people, they try to use they try to use everything both ways too. Because guess what? He played too bad defenses, yes. And that's what people are going to take you around with.    So they won't try to use it both ways.  If he wins, oh, well, he only gets bad defenses. Anyway, yeah, you got to be bad teams. You got to be every team that's in your way. Every team is on your record. Every kind of team ups, downs, everything. Every team is on your record. So you got to take care of them. No matter who you play. And now we got the Falcons and I heard they run defense not so good. So what do I expect the Ravens to do? I expect them to come out passing. Just like they did last week. Because Marty doesn't like doing the obvious. He doesn't like what works. He likes trying to do stuff the hard way. So I expect them to come out passing. Hopefully they don't just pass, pass, pass, pass, pass, and forget about the run game. They need to remember the run game. The run game is what got them to this point. Don't forget where you came from. Don't forget where you came from. So run that ball. The Falcons can't stop the run. Run. They can't stop the run. Run. Run, run, run that run instead of the play action. And Lamar can pick up where he left off last week. Now his decision making is going to have to be better. Of course.  It's just a bad decision. It's a bad decision. And the linebacker, he got a real good jump on that ball. He's also got to work on and this is just going to really come with, really everything is going to come with time. But he's really got to work on getting the plays down so we can, where he can call him from his helmet. Because like I said in other videos, once he gets that down, oh man, stuff will run so much smoother. It'll run so much smoother. But with the Falcons, he's going to have to watch for Dion Jones. Because Dion Jones is going to be back. He's going to have that Falcons defense riled up because they're going to get their boy back. They're going to get somebody who they dearly missed. And he's going to be trying to make some plays, man, to get that crowd riled up. To get the Falcons defense riled up. So Lamar is going to have to watch out for him, too. The offensive line, just keep doing what you've been doing, man. Keep doing what you've been doing. Seems like we got a whole new offensive line with Lamar Jackson versus what we had with Flacco. I would have thought they might have been a little more tired having to block for Lamar Jackson or whatnot, but no, they've actually been better. They've been better. But they get to as far as a run game with Gus Edwards, the offensive line gets to block straight forward. Instead of having to bend and turn and twist and all that, they get to be straight up. He's a 300 pound those. What they look like bouncing from side to side. These dudes get to be straight up now. Straight forward. Push the D-Line back. So, yeah. Now Falcons, they got some speed on that D-Line. They got some speed on that D-Line. So Lamar Yeah, he going to get his chances to take off of course he will. But they got some speed to catch him now. They get the right angle. They got the speed to catch him. So we're going to have to watch out for that. Wide receivers. Just catch the ball. Don't be scared. Just catch it. John Brown, don't be scared. You made up for it. Well, he didn't really make up make up for it, but he he came back, even though his biggest play got called back. But it's all good. Crabtree. Let's keep getting open. Snead. I'm sure you'll get involved this game. Mark Andrews. Hey, we love you. We love you. You have been our best tight end this season. Our best tight end this season. Just seeing how good Mark Andrews has been. It just makes a lot of Ravens fans wonder like, oh, what if we got somebody else instead of hating her? What if? So, we can dream. We can dream. But he didn't hurt saying he ain't been bad. He just had no impact. He just has not had any impact. So, I expect him to get some catches, too. All the tight ends, man. But yeah, back to Lamar. Just you're going to have to take care of the ball. But I don't want him to be cautious. I don't want him to be on that outside noise stuff again like they were in the first half of last week. Just go out there and play a game, man.  Show us why you got picked up in the first round. Show us why the Ravens have you at quarterback and they not starting RG3. So, that's a tricky one. Because usually a lot of us thought that RG3 would be the guy that they would start if Flacco were to go down. But that hasn't happened. Why is that? Maybe Lamar is somebody who they really see as the future. So, and that future is now.   Do what got you here. Don't listen to all the outside noise. Don't listen to it.  Just go to work. Have tunnel vision. Yeah, y'all like that one, huh? But um, yeah man, in this game I don't think he's going to win. Falcons with that offense, they just, they're going to be a problem man. Because they got so many weapons on offense. Like I said, 3 starting caliber receivers. They got the tight ends going against CJ Moseley. And possibly Chuck Clark will see how he does. Hopefully Anthony Levine is out there a lot more. But um, they got Coleman P. They got the running backs. They could do some damage too. Uh, jeez. I'm going with the Ravens. And the reason that I'm going with the Ravens uh, is because a lot of people just don't expect us to win. They don't expect the Ravens to win. They don't think the Ravens can compete. They don't think the Ravens is even a real team. They're not taking Ravens seriously. Which is fine. But in this game, uh, as the, the next hardest went up. This is LeMars first away game. A lot of people still doubting him in a passing game. A lot of people saying he's running too much. A lot of people just looking at them the, the paper. But they, you can't put the energy of a team on paper. You can't put the, the team's vibe on paper. You can't put a team's morale on paper. What he does for the offense and the defense you can't put that on paper. So I think with the vibe that LeMars Jackson has brought to the Ravens. That, that vibe will continue to carry on uh, in this game. And it'll affect the offense, the defense and just have these dudes feeling like, we can do this. We can beat anybody. Cause that's how I feel they feel right now. I feel like they're not scared. They're not worried. They just like ready. And we love that energy. So let's get it. Let's go get it. Get a win in Atlanta. Let's secure the victory.


Welcome on y'all to ChristianJaspersCaseBrakes.com, our last filler for our last case for the foreseeable future. 2013 Panini Certified Football Hobby Pack Random Team No. 11. Our last filler for 6 Flawless R&B spots for Flawless No. 6. The play is going to work at the very, very end. We'll do a randomize the top 6 spots, 2 for each group. Top 2 will get into our San Francisco R&B group, the third and fourth spot will get into that Chicago R&B group, and the fifth and sixth spots will get into that Tampa Bay Buccaneers group. And at the very end, we'll do the R&B, our next video, and get starting on a Flawless Case Break. Thanks everyone for getting this filled out. Here's our fresh dice, our fresh list of players and teams. Thanks to everyone for getting this filled out. Let's roll this dice for both. Good luck. 4 and 6, 10 times for this first one. Good luck. 10, 2, 3, 4, 5, 6, 7, 8, 9, and last one, 10. So David down to Matthew. Hey, that still looks getting dangerous to close too, man. Five spots away, I think, the last time I checked. So after the Flawless, we can get that done too. 10 times for here. Good luck. 1, 2, 3, 4, 5, 6, 7, 8, 9, and last one, number 10, right here, 10 times, 4, 6, 10 times. So from the Baltimore Ravens down to Chicago Bears, let's grab this real quick. Let's get this sorted out, and let's get this bad boy printed, and let's get to breaking. Our first break of the day. Thanks again, y'all. Girls on film. Girls on film. Let's go. This one put this easy, easy. That's our old pack, our old 2013 certified pack, right here. Focus. Thank you, camera. Thanks again, y'all. Getting this filled out. Josh with the Cardinals. All the way down to Jeff with the Commanders. All right. Our pack. Good luck. Our hit. Demonstrating more options. Good luck. The Cardinals. All the way down to Jeff with the Commanders. All right. Our pack. Good luck. Our hit. Demonstrating more autographs. New Generation Rookie Auto for the G-Men. Giants. That's going to go to T. Going to go to Barry. We got Dodger Baseball starting up just now. Demonstrating more. New Generation Rookie Auto. Out of 100. DJ. Hot filler. I'm a Popsicle Bearcer. Last card. All right. Got the pack done, but let's get to the fun stuff here. Let's grab our names. Once again, our fresh dice, our fresh list. The top six names only. First two, we're getting to this 49ers group. Three and four, getting to this Bears group. And five and six, we'll get to this Buccaneers group. Our fresh dice and our list of players. Good luck, everyone. Let's roll our dice for this. Four and three, seven times. Top seven. Good luck. One, two, three, four, five, six. And last one, seven. Seven times here. Four and three. So seven down to 32. Not so happy times. Thanks for getting in this break though. I appreciate you. And then six up. Jeff, down to Sean M. Thanks. Appreciate you all once again. Let's get to some very happy campers here. Matthew S. At six. And Stephen P. With that last spot mojo. We'll get into our Tampa Bay Buccaneers group. With spots five and six. I'll have myself spots three and four. Matthew S. And Matthew S. Clean it up. We'll grab both of those R and B spots in the Bears group. And then spots two and one. Matthew S. And David and David stinking in there. Nice. Those top two names, David and Matthew, are going to go into that 49ers group. All right. Thanks again for getting this filled out. Congrats to y'all who are in this break. When we come back, we'll do R and B number one, two and three for floss number six. And then get that case broken on jasperscasebreaks.com. Thanks again. Bye-bye.


Let us continue the study of product of cell complexes. Indeed last time we already introduced the definition what is the meaning of locally countable. This includes locally finite also if you countable you replace by finite, you will get locally finite condition also. Alright similar to that. So what is the condition? Every point is contained in a countable sub complex that sub complex must be a neighborhood of the point in the whole space. Okay that is the local, local means this should happen in a neighborhood so that neighborhood has to come here. Okay so if you have such a locally countable CW complex this lemma tells you sorry so that was the that was not definition. Definition was that it is locally countable if every open cell meets only countable many closed cells. Now we are putting the lemma here. Okay so this is what happens. So justifying the definition locally countable. Alright of course if this happens obviously a point will meet only finitely, countable many closed cells that will be also true. Okay so you could have taken this as definition but the definition is this one namely every closed cell meets countable many closed cells or every open cell meets countable many closed cells. Okay every open cell meets countable many open cells is wrong because no open cell meets any other open cell they are rejoined.  First of all each X belongs to the interior of a unique cell. So let us say interior of EM and I will state K0 be any finite sub complex containing EM. What you have to do? Are you sure that there is a finite sub complex containing EM? All that you have to do know is that the closure of EM is covered by finitely many closed cells. Okay to take the closure of all that that will be a sub complex which will be finite you need know for this finite lemma okay. You may have to start with a M cell you may have to go down down down down you know to wherever you may start 0 cells whatever EM intersects all those cells you may have to take. So there is a finite sub complex because closure of EM is compact okay. So let us denote that by K0 there is no uniqueness you can choose there is one there is a K0 finite sub complex containing EM therefore it contains the point X also to begin with. Problem is you cannot stop here because this K0 may not be an open cell open may not be a neighborhood of X inside capital X. Now what happens for each closed cell EK which intersects interior of EM you see how many of them are there countably many okay. There is a finite sub complex that contains a closure of EK take any cell K the closure of that is contained inside the finite sub complex. Now I have to do this for countably many of them okay take the union of all these finite sub complexes to get a countable sub complex and that is my K1. So I repeat how I started I started with a point X which is in the interior of EM some simplex some cell okay M dimension cell then I took a sub complex which contains this EM okay. Now the higher dimensional cells their attaching maps may come inside EM in the interior of EM okay. So you have to take for each such EK take a finite sub complex contains that take the union of all these things wherein EK is over all those cells whose boundary intersects EM call that as K1 okay. Now carry on with this procedure what is K1? K1 is countable again okay for each of the top dimension cells in K1 you do another countable sub complex and union take the union of all that and so on you get another larger countable sub complex K2 and so on okay one contained in the other. What is important is is K0 will be closed sub complex of K1 K1 will be closed sub complex of K2 and each of them is countable and K0 contains our point X take K to be the union of KNs countable union of countable family so that is also countable it may be very huge but it is countable okay the claim is that this K contains an open subset in X which is containing the point X so it is a neighbor okay K is a countable sub complex it is very clear. So to see that K is a neighborhood of X what we will do start with the m cells what started with m cells sigma such that X is in the interior of sigma right that interior you call this as U0 and opens subset inside the closed simple X okay it is open in there and actually if it is the m dimensional skeleton there it will be open the U0 is a neighborhood of X in XMM dimension skeleton and is contained in K0 K0 is by definition the finite sub complex of some finite sub complex which contains the cell that is why it is K0 okay so you have a sub complex K0 and this opens subset inside that right now we play the old game let U1 be the extension of U0 to the next skeleton X M plus 1 this we know how to extend right from one skeleton to next skeleton right as in the provision 2.1 so this is going to be again and again used so I have given a lot of emphasis on this one then this U1 will be contained inside K1 why because U1 will take only those simple X those those cells part of those cells which intersect the cell U0 okay and those things are already there inside K1 so U1 is contained inside K1 and U1 is an open subset of X M plus 1 we do not know whether it is open subset of X yet repeat this argument what you will get each time you will get a neighborhood Ui which is a neighborhood of X inside X M plus i the U0 U1 and X M plus i which is an extension of Ui minus 1 okay and each Ui is contained inside Ki I am just using this U0 inside Kmm means X M plus 0 U1 is an extension of U0 U1 is contained is K1 so replacing them by i so that is the inductive step I can do okay for each i greater than or equal to 0 I can do this therefore by theorem or layer of theorem U which is a union of Ui's obviously intersects with each X M plus i it is open there so it must be open X belongs to that and U will be contained inside K because Ui is contained inside Ki and K is the union of all the Ki's okay so many of these ideas must have been clear to you but you must now practice yourself writing down such a proof this proof is just balanced correctly we can now give a number of instances when the product topology coincides with weak topology that was our aim okay start with any two CW complexes the product topology coincides with the CW topology on X cross Y in the following instances this is not a if and only if theorem mind you X and Y are finite then it is okay this was the right from the beginning we knew X is finite or Y is finite then also it is okay X or Y is locally compact or equivalently locally finite X and Y have countably many cells both of them may be infinite so this is something new the last one is X and Y are both locally countable so this is the best thing that we could say so far you will see that to make this is not true we will have a counter example also but there may other directions wherein you can you can try to do that thing but if X and Y are both of them are locally countable even if one of them is not locally countable okay a particular case may be there but we will give a counter example counter example that there are one for some case for everything that is not true it is not any friend on this theorem yeah one two and three they are already seen how when we have seen X is X or Y is finite also you can see because if Y is finite it is compact this will be always compactly generated compactly generated and compact product we know it is compactly generated similarly X or Y is locally compact one of them is locally compact another is compactly generated it is also you have seen earlier okay all the three of them we have seen earlier the first thing which we have not yet seen is X and Y have countably many cells and X and Y are locally countable these two things could not have been seen earlier this is special case for CW complex okay so 4 and 5 needs to be proved okay to prove 4 so let W be an open subset of this CW complex product take a point X naught Y naught inside W you should produce a neighborhood U of X naught and a neighborhood V of Y naught such that U cross V is contained inside W if you have done this for every point that would mean that X cross that this W is now open in X cross Y okay that is the product policy what we have started if the view is open inside the CW topology okay so how do we how do you use the the hypothesis in 4 so says X and Y are countably many cells this is what you have to use so write X as union of KNs and Y as union of LNs what are KN and LN they are increasing union but they are finite sub complexes now I cannot take skeletons and so on now a countable complex can always written as union of finite complexes sub complexes how you enumerate enumerate all the cells okay take the first cell it may not be a sub complex but it is contained in a finite sub complex to take that test K naught now put second one the union K naught and the second one must be contained in another finite sub complex okay like this Ki you have constructed take the i plus one cell which you have enumerated put that one also together that may not be sub complex but that will be contained in a larger sub complex which is finite and so on okay so you can always write a countable complex as a increasing union of finite sub complex so write it write them like that okay and assume that X naught and Y naught are the the first one namely K naught and L naught the CW topology on X and similarly C-duplicology in Y you can just go to these KNs okay actually if you take KN that is right then it is similar to our earlier argument if you take the the induced topology co-induced topology with respect to this family KN it will be finer than the compact uh generated thing but then each KN is again contained either a finitely many covered by finitely many compact things therefore it is equal okay the first thing to note that CW topology on X similarly on Y is equal to the co-induced topology by these families therefore to say something is open or closed inside X I can intersect it with KN and see that whether it is open or closed inside K since KN and LN are compact if you just take KN cross LN and the topology and the CW topology on that it is the same thing as KN cross LN by the first case therefore if you take W intersection KN cross LN okay this is a neighborhood of X naught Y naught in KN cross LN why because if I put a W here it is a neighborhood but they they are the same here so it is a neighborhood of KN cross LN now this KN cross LN in the standard product topology since W is a neighborhood of X inside K inside X cross Y with the with the usual topology with the with the CW topology W intersect KN cross LN must be a neighborhood inside KN cross LN W but I do not have to write W that is all I am telling you okay inductively we shall construct sets UNVN inside KN and LN such that UN intersection KN minus 1 is UN minus 1, VN intersection LN minus 1 is VN minus 1 and our starting point X naught Y naught is in each of the UNVN contained in W intersection KN cross LN okay then we put U equal to UN, V equal to VN and as before we can appear to theorem 2 point here to conclude that U and V are open subsets of X and Y respectively so that inductive step has to be done again okay for this we have to use one more small topology so first of all we shall construct UNVN with an additional property which is stronger property and that will help us to carry out the inductive property carry out the inductive step what is the additional property we will do that let us say UN bar and VN bar are compact so we are in the construction we are going to make such a each UN and VN okay such that their closures are compact so these UNVN are compact neighborhoods okay and UN bar itself does not go out of W intersection KNW so that we keep extending okay so this is this is a clever way of trying to do the extension we should try to do extension you will see that you better assume this one so that means in the earlier you have to have constructed it in that way otherwise you cannot assume that right okay so when N equal to 0 what is it U0 V0 where are they they must be inside K0 and L0 right X0 Y0 belongs to U0 V0 U0 V0 bar contained is a U0 V0 U0 bar cross V0 bar in W of intersection K0 such that U0 bar V0 bar is compact why you can do this where are the X0 and Y0 they will be in some cells right they will be interior of some cell right that cell is an open set its closure is compact right so this is happening inside K0 and L0 are both compact subsets I mean finite CW complexes so that is why this is possible in other words all that I am telling you here is that a compact order of space is locally compact also therefore I can do that X0 belongs to U0 U0 bar is compact contained inside W intersection K0 remember this W intersection K0 L0 we have already noticed we have we have we have just first noticed that it is open neighborhood of X0 Y0 and KN cross LN for each N so I am using that here the first thing is that they are compact subsets so I can choose this one to be compact subsets construction for N equal to 0 is over now assume this is done for nth stage okay satisfying these two conditions okay then using compactness of UN bar and VN bar you can now find open sets say UN prime and VN prime in KN plus 1 LN plus 1 so set UN prime is contained in a UN plus 1 prime VN prime contain VN plus 1 prime the closures of product is inside W intersection KN plus 1 so this is a version of Walman's theorem for compact subsets I have stated it in exercise okay I will just tell you what is this exercise it is there below suppose you have a neighborhood of K cross L where K and L are compact subsets inside X cross Y okay then you can get a U and a V inside X and Y so said K is contained inside U L is contained inside V U cross V itself is contained in the given neighborhood W I repeat suppose you start with the product space X Y arbitrary product space is okay you can assume they are host drop spaces whatever K and L are subsets compact subsets K cross L is contained in an open set then you can choose open subsets U V containing K and L respectively such that U cross V itself is contained inside the given open set okay so this is what we are going to use this is what we have used used here UN prime UN plus 1 prime and VN plus 1 prime will be in K and L plus N cross L okay now use 2.1 repeatedly if needed you can extend U N V N to open subsets U N plus 1 V N plus 1 in K N plus 1 and L N plus 1 respectively such that U N plus 1 bar is inside U N plus 1 prime okay the bar of the extended thing is inside this one V N plus 1 bar is in V N plus 1 prime the point here is in the in choosing this one U N plus 1 bar prime intersection with K N may not be equal to U N but now we can make that this was this was the gist of this proposition right we can extend that extension means intersection with this one must be the given open set okay so here U U N prime and V N prime you know there are some arbitrary open subsets larger than the original ones but when you intersect with the old one okay say U N prime intersect with K N may not be equal to V N prime may be larger that will cross problem so this extension when you say it is precisely equal to okay and that is needed into the final contribution once you have that your problem is over so what we have done I will just recall what we have done is that if you have countable both is on 4th one both extend where countable many cells then the product topology coincides with the suitable topology the fifth one is easier if you use the fourth one now okay so given a point X naught Y naught in X cross Y by the previous lemma the lemma which we started with today there are countable sub complexes K comma L respectively in X and Y right and K and L are neighborhoods of X naught and Y naught in X and Y respectively to fix X naught belonging to A contained inside K why not belonging to B contained inside Y such that A and B are open sets so that is possible because they are neighborhoods okay now essentially what we have we are trying to do is to reduce this problem you know problem 5 to problem 4 for the both of them are countable case okay now let W be yet we don't have that picture yet because the whole thing has to be inside X cross Y right not that K and L that is fine but you have to prove that this is finally the neighborhood is in X cross Y right so you have to that W be open in X cross Y Y the C double topology and take X naught belong to right okay then W intersection K cross L W this will be open in K cross L W but this is equal to L by 4 that is the point therefore there are open sets Q in K and V in L such that U cross V inside W but then A intersection U is open inside U okay therefore open inside X see A and B are open inside you have got A A here is at K and B is at Y they are open subsets okay because K and L is K and L it should be this should be L K and L are countable sub complexes which are neighborhoods okay therefore A intersection U is open in U therefore open in X similarly B intersection V is open in B so it is open in Y therefore X naught Y naught which is belongs to A cross U A intersection U cross B intersection V that would be inside W okay so 4 actually helps to solve this problem here is an example due to Docker which tells you that if both X and Y are not locally countable then product topology need not coincide with the CW topology okay so for this we start with the following notation let this N denote the set of natural numbers and L denote the set of all functions free from N to N consider the real vector space R power N which is the direct sum of copies of R as many copies as as natural numbers and R power L the direct sum of copies of R as many as capital this curly L memory indexed by functions from N to N both of them you give the compactly generated topology okay so that we are now going to construct a subspace of this R power N that would be called X and N is subspace of R power L that will be some sort of Y automatically they will be having compactly generated topology and they will be just one dimensional CW complexes when we take the product of X with Y the product topology will not coincide with the CW topology so that is the idea okay so let us choose these standard basis elements for R capital N and R curly N namely V N and U phi indexed by N be the natural number and phi is functions on the natural numbers to natural numbers now put X equal to all the line segments emanating from 0 and ending at the end point V N so we can write them as R times V N where R is real number between 0 and 1 so look at all of them they will all be incident at the origin of R power N okay and the end point will be the vector V N okay look at this complex this is a one-dimensional complex okay consisting of just edges all of them having single point common and indexed by the these vectors V N themselves so of course R and W indicate the weak topology the topology generated by finite subspaces which is same thing as compactly generated topology similarly Y will be R U phi phi since R capital L and 0 less than R less than R to N so it is exact similar only the number of edges here to be very huge then both X and Y are CW complexes which are one-dimensional okay and you can think of them as one point union of one point union of number of edges okay the claim is as as told you the CW topology on X cross Y is strictly finer than the product topology so in order to do that what we are going to do is we will display a subset a subset which is discrete inside the the CW topology but it will have 0 as a limit point the 0 in the origin as a limit point in the product topology so that space is precisely this P consisting of points P N comma phi indexed by N as well as phi what are they the first coordinate is V N divided by phi N second coordinate is U phi divided by phi N phi N and you know for all N phi N is some natural number so I can divide out by that so this will be one of the points on the edge cross edge okay so this will be one of the point in the two-dimensional cell one cell here cross the other cell here okay as you take N and phi different okay N prime and phi prime that will be in a different two cell so all these points are interior in inside exactly one cell each point belongs to the interior of exactly one two-dimensional cell 0 comma V N cross 0 comma U phi okay therefore by our old lemma the set P is a discrete closed subset of the the the topology namely the CW topology however all that we have to show is now the origin 0 in R N cross R L is in the closure of P in the product topology what is the meaning of that take any open subset around 0 show that it intersects P okay so an open subset around 0 will consist in the product topology it consists of a smaller open subset of the form U cross V where U is a neighborhood of 0 in R N and V is a neighborhood of 0 in R L okay once you have such a thing automatically for each N and phi each line segments emanating from 0 we will have some R N such that and R N and S phi numbers depending upon N and phi such that the entire line segment lambda times V N where lambda varies from 0 to R N is contained inside you similarly here lambda ring from 0 to S phi lambda times U phi that will be contained inside this will be true for every N and every phi okay therefore now I would like to give you a sequence of points which converge to to the origin so consider psi from N to N given by psi N equal to maximum of N or look at 1 by R N take its integral part integral part of 1 by R N so these two are some natural numbers now okay add one more take the maximum and add one more that is my psi N then psi N will tend to infinity as N tends to infinity because this is bigger than N hence we can choose the little m such that this psi M is bigger than any number 1 by S psi okay 1 by R N is there the integral part of that plus 1 is bigger than that one so choose psi M bigger than 1 by psi automatically this one it follows that 1 by psi M into V psi M 1 by psi U psi U psi this will be inside P as well as inside U cross V because this number whatever you have taken should be less than R N and that second part should be less than S psi so that is what if you if you take psi M like this 1 by psi will be less than S psi here okay so that completes the proof of the counter example thank you


OK, good afternoon. It's really nice to be here. And I'm an engineer. I'm going to talk more like a bottom-up approach. My name is Jun Yuen. I'm working for the Royal Institute of Technology and also the Maldonné University in Sweden. And also, I'm editor-in-chief for Applied Energy. The reason is because, in fact, this is not only my professor's job rather than practice how we use international network to promote clean energy and renewable energy. Yes, the title I used to innovative or innovation because we do need innovation. But innovation doesn't mean complicated. That's what we have, the complete connection with the computer rather than robust system. Here's outline. I would like to bring the issue and the mismatch with the stakeholders and what's the situation right now in developed country which owns a new and advanced technology and the developing country need. There's markets there, but they need technology. And also another issue I would like to bring what kind of solution we have. And I would like to bring one example of what we are doing and some action what we have done. Here, this is the pre-autical table. In the opening session, we're talking about Nordic countries. And Sweden has about 0.14% of the population and they discovered about 15% of the element. So that's more like you try to illustrate how the scientific advance as a small country. And if you even look at 9 million population in Sweden, they have so many worldwide larger companies. And what's happened behind that? And I do observe there are a lot of new technology but because market limitation with 9 million people, how to explore the technology into the other larger market for example like China, India, or some other developing countries. So that's the background why we would like to do something new or we all know this so-called death of valley. And our stakeholders working in academy one side and the industry on the other side and government give money but not. There's one part in the book, there's this called valley of deaths and which we need money, we need a stakeholder to get into together. That's what we try to bring all stakeholders together and working a little close to the market. And that's one of the motivation we create the new institute of so-called applied energy innovation institute which we use as our network is tabulated from the applied energy. I will give you a little bit more information later about what applied energy network. And also we try to use so-called organized result organization. This new institute is independent and it's not dependent on the government and all other research institute. And so that we might able to keep is more robust and less bureaucracy. There are two issues we need to solve. One is how to bring all stakeholders together. It's easy to say but not easy to do. And secondly is how to bring our international collaboration into the implementation as what we have mentioned in the opening session. So that's what we try to solve by our solution. And what we have done is once established one platform or institute try to link with a strong international collaboration and located a little bit close to the market. For example in this case in China. And also we try to work more focused on the implementation rather than research and development. Here is some background about applied energy. It's one journal established in 1975. So next year will be 14 anniversary. And we published about 1000 paper. And it's really larger network. And based on that we started the so-called ISEE international conference on applied energy to facilitate the communication for our authors and reviewers and the editors. And based on that so we continue working with the local government for example in China. This is our international network we have been hold since we started in, let's say I hope it works. So we started in force one in Hong Kong. It's about 100 people. And the second in Singapore is 300 people. And the third one in Georgia, Italy. And fourth in China in Suzhou.  And which has end with collaboration with the local city in Ningbo to establish a new platform. And next year will be hold a Abu Dhabi. I hope if you are interested please join us. And this is the code AEI, Applied Energy Innovation Institute which have started with discussion with the local government and get support. But it is connected to the government which keep it to be an independent open platform. The network connected more than 10,000 people. And I would like to give very short description about how this institute has been established, what we are working and how we're going to implement. And what's behind of the international network. And this is the building which has 3000 square meters. And so we have been working for one year, working for all the hardware and the logistics. Now we can start to operating. We received some funding from the local government for the initial startup. And now we are going totally independent. So the basic idea to try to work in link to the international applied energy network with China close to the market. And what we are doing is basically four parts. One is the technology landscaping. Where there's technology needs from the market. And we do have technology in the developed country. For example, like Sweden. And there are many small media companies which have very innovative, a lot of new technology but we need market. That's why we start to have the second part market demanding study. And which right now we are working with the local city and working with all different industry sector to try to find what energy saving technology they need. And what new and renewable energy technology can be implemented. And as well as we're working with the capital investment. Because this is very important part to really make this happen. And the good thing is now, in fact in China, there's market, there's the capital available which they are looking for the new technology too. Of course for the developed country, capacity building is very important. So those are four parts we are working on with big database to try to do the matching for all different aspects. And here describe the scope of what we are doing. We are not doing the original research rather than the more focus on the innovation and the market penetration. So then you can see it's really working for more prototype and the products in which you might be attracted to more investors and also close to the market. This is a business model which is quite interesting. I show the first part, we keep the open platform. And in fact, whenever we started, there's some venture capital or some other want to join us. But we try to keep open reason because we want to have the open platform. And here you can see all different projects from our applied energy network and our own research and development product or in particular for a small media company. And each project as a project and this is one kind of the incubation process and we try to work in close to the market and same time to attract the investors. And the results we try to put into the more commercial based which means they can establish a company and which takes the benefit from the market. And basically if you look above it's open and the results will be working on the market, quite close to the market. Yes, that's what we try to say if it's possible to keep the quality for example, like the European quality, but same time keep the efficiency. For example in China can be very quick if there are good motivation to make money for example and to combine them together to take the benefit for the whole platform. And this is basically a standard organization but very interesting, they have one part of the code innovation fund which we are working on with the investors, the bank and some other capital investors to try to establish a long term relationship with the institute and also the investors. And it's quite positive as we are right now contact with the banks for example. And what we are doing here, I start from my own research time as I mentioned I'm an engineer and working with more technology innovation. We choose our technology which has been located at the Chinese market to some of them for example like solar PV, water pumping which we have been working together with supported by the Asia Development Bank and also CIDA for many years and mobilized some energy storage system and also the risk cooking oil for the biodiesel. We choose three technologies as the pilot project. And here it shows some work which has been done for one and a half minutes of flash. So how we have been working together. So basic principle is very simple, use solar energy for the grassland conservation and which is basically use water irrigation system. We have been working together with Chinese institute including both the water resource and the irrigation technology. But there are other benefits, not only the solar renewable energy and also the solar improvement, carbon solar improvement and also improves the farmer's income. And some innovation we try to work with the social media to get other stakeholders and the investing world for example. Individual can have your own one square meters of grassland to attract them to donate and in particular more important for them to get engaged into this type of ecological conservation. And we have done the three problems for the pilot project and now we are trying to do the scale. Those are the partner of the project. And there are some other technology in fact for example, this technology we have been looking to the market potential if it converts 0.3% of the grassland in the world, the total PV installation is equivalent of the worldwide today's total installation capacity. So it's a potential, it's quite large. And the production is the feedback time, it really depends on how the grass increase of the production due to the irrigation. We usually it's about 10 or 13 times this would be easier to reach. And we have developed different modules including the integrated with ICT, how to do remote control and remote monitoring which is able to facilitate for example like social network to be engaged into the individuals. And this is recent work we have been trying to working on where in China is the most suitable both economically and also environmentally. And some other technology I mean, due to the time I will skip it for some energy and storage. And also micro reactor for the biodiesel. And the networking you pursue, this is I just shows what we have been done. And we do have quite good networks through the applied energy journal and also through all search. And this is developed and we have been dramatically increase for the submission of the and our editorial board. And that's worldwide our authorship of the applied energy and we try to use this platform for our author to really help them to facilitate their technology innovation into the market. I'll skip this quickly. We have 5,000 roughly submission. And from 16 five countries and over 10,000 reviewers. So they are the engineers, they are scientists. And we have about 10, 1,000 publications. So impact factors and also 1.7 million downloads which that means is really quite large network. We have been ranking them by one system in technology as the number one of job. And also we have been tried to work in with working with the local government for the expert forum. That's more like doing the technology invitation. And also I'm leading for another platform which we try to link to from the street and the China to working together. Those are also working with the European industry. And we have initiative for the so called applied energy innovation cup. We try to encourage the young people to do the innovation. This will be started from this year. Hopefully we can start for next year. And another program we have been running with 200 million Chinese Yuan to working together with so called China Squareship Council program working with the 15 European universities tried to for the capacity building. And which involved 100 PhD students and 15 postdocs so that we can work in with larger project together. And the project we try to work in not only academic studies rather than try to work in both industry from Europe and China. So that's a platform we built up. Okay I think I'm just showing some examples how we are working on try to do something from bottom up. And I really hope if you have chance to visit China and the police visit us and we can try to work in something together. Good thank you.


So as I've said, the focus of the collection really is on the mathematical and technological sciences but we also have a number of really interesting and important things in the biological or natural sciences and I've gathered some of those things here on the table. So this first, this is from 1859, this is the first time that the theory of natural selection, which is sort of the cornerstone of evolutionary biology appeared in print and we all know that Darwin is most often credited with the discovery of the theory of natural selection and eventually the science of evolution but he also had, he actually had a co-discoverer, Alfred Russell Wallace, who was another naturalist working contemporarily with Darwin, was about a generation younger than Darwin, also came to discover that natural selection was in fact happening in the habitats that he spent most of his time in doing fieldwork. So when Darwin found out through a friend that Wallace had sort of come up with a version of the theory that he had really been sitting on for, you know, close to 20 years, he reached out and they decided to publish sort of a synopsis of their theory together in a joint paper and that appears in the Journal of the Proceedings of the Linnean Society of London, which was an organization, scientific organization that Darwin and Wallace were both associated with. So, you know, they share credit but Wallace is sort of generous in conceding that Darwin had the priority and in fact we know that he had priority based on some of his manuscripts that survive in England where he actually had taken notes about the theory of natural selection as early as 1837 and wrote a pretty full account of his theory in 1839 that he shared with his friend Charles Lyall. But nevertheless, right, when you read this article closely, it's pretty short, it's only 15 pages, you see that Darwin is really kind of taking pains to apologize for the kind of preliminary nature of his writing on the subject. You know, on the first page, there's a footnote and he says, you know, this manuscript work was never intended for publication and therefore was not written with care. He signs it CD 1858.  But nevertheless, he was willing to publish with Wallace and I think that just goes to show that Darwin was incredibly generous and believed in sort of open sharing of ideas of data in science at this period in the 1850s. So, you know, the first part is a letter. This is again trying to frame the piece to establish priority for Darwin. The first piece is a letter signed by Charles Lyall and Joseph Hooker, who was another botanist, naturalist and Darwin's closest friend, where they're basically saying, you know, hey, we've been in correspondence with Darwin for a number of years and we know that he's been working on this theory for a couple of decades. So again, sort of staking that claim that Darwin was the first to arrive at it. But then you have, you know, first Wallace's paper and then you have an extract from Darwin's manuscript that would become The Origin of Species published in 1859. So I just wanted to share this because while many people think that natural selection evolution was introduced in The Origin of Species, it actually was in this fairly modest 15 page co-authored paper that Darwin and Wallace presented together. So they read this paper to the Linnean Society in 1858, I think July, 1858. And then Darwin sort of returned to his manuscript and worked feverishly to finish it for publication. And eventually that became The Origin of Species published in November, 1859. So we actually have three copies of The Origin of Species at Carnegie Mellon. This copy here that's on the pillow actually belongs to the Hunt Institute for Botanical Documentation. And I point up because they're on the fifth floor of Hunt Library where I am right now. But we also have a copy that's in the Poser Memorial Collection and another copy that's just in our General Special Collections collection. So that's significant in itself that we have three copies of this really monumental work in the first edition, in the first date, you know, in one building essentially. So this, as I said, this is The Origin of Natural Selection, of the Science of Evolutionary Biology, but it's also the origin of the entire scientific discipline of biogeography. And basically that's the study of, you know, observing and marking how the landscape habitat affects the sort of ecosystem of living things, right? That was Darwin and Wallace's observation that, you know, species evolve to fit, you know, habitats, niches in a particular ecosystem. And I think they were the first to really see that this involved a fairly delicate balance, right? So if you take away the ecosystem, if you take away the landscape, the species, right, the living, the fauna will suffer. And that's kind of represented in a diagram. It's the only illustration that appears in Darwin's Origin of Species in the fourth chapter. And this is, it's kind of looks familiar to us, but at the time this was pretty new and radical. This is what's called a phylogenetic tree. And it just is meant to show in the form of a diagram the relationship between species through time. And that was, you know, that's the basic argument of evolutionary biology that species evolve to fit kind of the conditions in which, you know, they exist. But this image in particular, I think encapsulates why Darwin is so interesting and really still insistent today. Because, you know, we know now that that balance between environment and species and living things is incredibly fragile. And if you affect either side of that equation, you know, you could potentially, it potentially leads to really deleterious results. So that's just a fascinating diagram in its own right in the history of science. You know, this is, as I've said, it's, it's something that we're now familiar with, but at the time it was really new. And I'll just close this there. I guess the other point that I want to make about our copies of Darwin is the importance of having multiple copies of the same book in one place. You know, from our perspective, we're familiar with the idea that, you know, copies of a particular book are more or less identical and exchangeable as such. But that's not usually not the case with historical books, because in the process of printing, changes might have been made. So you end up finding variants in different copies. So it very well might be, I haven't looked closely, but it may very well might be that these three copies that we have at Carnegie Mellon have variants of Darwin's language that would be significant to a scholar working on, you know, the first publication of the Origin of Species. And there's actually a really good example of that in the Posner copy, which is inscribed. It's a presentation copy from Darwin. So Darwin has written on the front fly leaf, you know, from the author to John Morris Herbert, 16th November 1859. So that's significant in itself, right? This particular copy has a provenance that links it to Darwin's friend, John Morris Herbert. And Darwin and Herbert were actually school friends together at Cambridge, and they would take, you know, sort of day trips out into the fields of the English countryside to collect beetles and other entomological specimens. And there's a possibility that the first inkling of Darwin's thought on the theory of natural selection might have been formed in those trips that he took with Herbert. So, you know, it's a significant copy because it has that association from, you know, Darwin's youth. The other reason why this inscription is really significant is the date, right? We know that copies were sent to booksellers in late November, probably November 24th, 1859, but this is dated 16 November. So we can be sure, given this presentation and inscription, that this is one of the earliest copies to sort of come off the press, right? And that's important, you know, if you're studying the history of the text. That's just one example of why it's important to collect sometimes in multiples, just so you can capture that level of detail that's really only available, you know, in individual copies. And you lose that if you only have one.


One thing you need to understand is the technology is subjective because it's about you You have known objective technologies how to fix the car how to fix the airplane how to fix the aircraft all these things You can stay away from those things look at them and fix them. They are different But this is subjective technology.  Yes, do you know? Yes or no If there is a cut or a wound and there's too much bleeding they would simply take mud and Put it somehow to stop the bleeding But today we have understood even if we have to open a small opening in the body We need a certain certain sterile condition to do it. We have understood that much, isn't it? So whether it's the physical body means we need a certain kind of condition Similarly, if we have to open up you as a person We need a different kind of atmosphere. We need a committed atmosphere in a casual atmosphere. You never do it why today any thinking person Little people who consider themselves intelligent in the world have an allergy to anything spiritual is simply because of this Because spirituality has presented itself in such ridiculous ways.   Yes, this is simply because people started handling spirituality in uncommitted manner Anywhere everywhere talking about it on the street side. They're talking about Krishna and how he did these and Bhagavad Gita It's just become ridiculous because you're not demanding a certain involvement and commitment from people Just anywhere you're going on like a film song or a commercial thing Now slowly it has become so ridiculous People have just dismissed the value of it. Absolutely Now it is only the ignorant and the uneducated who listen to Mahabharata and this one and that one Educated because they've already dismissed it as nonsense Because it's happening in such ridiculous ways. It is not being presented properly Not creating the right kind of situation for it to grow Simply doing it anywhere. So subjective technology is never attempted in uncommitted atmospheres It has to be done in a committed atmosphere. We want to just align These four wheels on which you carry your life See you may think and imagine many things about you in your experience the only four realities of your life is physical body Mind emotion and energy that supports all this. Isn't it so? Other things you imagine and you believe from your traditions and cultures These are the only things which are in your ex-living experience If you want to go somewhere if you want to make any kind of journey You can only start your journey from where you are right now Wherever you want to go You want to go to Mumba Devi or to the moon? You can only start your journey from the seat in which you're sitting right now. Isn't it so? If you try to start your journey somewhere else, you will become hallucinatory Most of the religion in the world over 90% of the religion in the world has become Hallucinatory because they're all trying to start from the third step to heaven not from where they are You must first realize what is the experiential reality of who you are What is the next step and the next step and the next step? This is the only way you're genuinely going to go somewhere.  Because it is so surface what you believe in Life can crack you. It doesn't matter what kind of hallucinations you will have Life situations are capable of breaking you if they don't go right, isn't it? Now if you're a believer If life is not happening your way, it must be definitely happening his way. Isn't it? You must be even more happy But that's not the reality of your life You want the life to happen the way you want it. If you have any problem in your life right now It is just this life is not going the way you think it should go. Is there any other problem with your life? Is there any other problem with your life? This is the only problem that human beings have Life is not going the way they think it should go. Isn't it so? If it is not going your way, it must be going the creator's way, isn't it? You must be even more happy, but that's not the reality Because there are too many deceptions in the mind