Run it up, do run it back, yeah.  Good morning, it is Tuesday, it is December 12th. I just looked that up, that's why I knew it. This is Run It Back. Stadium Insider, Shom Sharanya. Do you like when I do that? Does it make you feel like on display? Yeah, something, it makes me feel something. I'm not sure what it makes me feel. Well done, here we go. Let's go. I like the same effort. I mean, oh I'm sorry. Chandler Parsons. Thank you. I feel the same when I do it that way. Lou Will doesn't need that because he's an NBA legend. That's what they call me. We had a lot of sports happened overnight. And because we love all of you, we watched every second so we could bring this to you. Pelicans, got that bad taste out of their mouth from the end season tournament. Snapping the T-Wolf, six game win streak, 121-107, Zion, season high, 36 points. He was 13-17, Cat was 17, he had two though in the second half. Zion sort of falls in that AD camp of we see greatness and then we ask why can't we see it every single night? So now I want you to answer that question. Yeah, when we see it with a lot of guys, honestly we see it on the other team too with Karl-Anthony Talens. You have that much talent, there's expectations, right? And with Zion, we all know how good he is, how explosive he can be, all the rumors about his conditioning and that's just tough.  Who? I hate that take but it is, it makes you wonder, right? Like if he would just kind of slim down a little bit, would it prolong his career? Would it allow him to play more minutes? Would it allow him to play in more games? And so we see what he is right now and it's just hard to not imagine him consistently in shape. Look at LeBron James, how can LeBron James at 39 years old be in the shape he's in? And Zion not. So I understand where it's coming from and it's frustrating and it seems like it's all self-inflicted unless there's an unknown health issue that we don't know. It's causing him to keep weight on for whatever reason but look, he's having a great year and I love that he clapped back. He had a tough showing against the Lakers in the end season tournament. This was a huge game for him.  I don't know when that happened and I don't even like using that phrase. That being said, it is weird, right? Because you can have a chef, you can have personal this, that another white. We don't understand, Lou, how great he could be. I mean, what's the problem? He's 23, five and a half, five assists a game and he's finally on the court. You know what I mean? Why is everyone freaking out? I think it was a narrative that began from the beginning of his career. So I think it's something easy to poke on when things don't go his way. He has bad games or he has these stretches where he's not living up to expectations. I think it's just an easy thing for people to poke at. It's his size and it can be both. We can't criticize this kid for his weight and how big he is and then credit him when he does these big plays where he's snatching the ball from guys and knocking them on the ground and laying the ball back up. It's like, you know, that's part of his makeup. I don't care what kind of diet this kid goes on.   Give the kids some credit. At least he's on the floor. He's playing at a high level. Everybody in the NBA are gonna have bad games, gonna have bad nights, gonna have bad stretches. He's no different and so right now, at least he's almost shooting 60% from the field. And his team is successful. What is the problem? And I can argue the other way with it that this physical, the way he plays, the way he's built, that is what gives him the edge, right? Right, the power. My boy the other day said he's probably the best basketball player of all time that can't shoot, dribble, or pass. And think about that. He really isn't. He really isn't. And if he was 30 pounds lighter, it wouldn't work, right? But I don't think his body type is going to be very powerful. That's what I mean, his physicality to me almost is a good thing. Like it allows him, when he was in Duke, people were saying, oh, is he gonna be able to play this physical against men? He's playing in the ACC or whatever. Yes, he can, he's still stronger and bigger than anybody on the court every single night. So take it with a grain of salt, because his physicality is his number one strength. He's obviously not in the best shape, right? I think we can all say that without shaming him or saying anything. But I disagree. He was never gonna be small. But I disagree. This thing says what? When you see him. If I'm averaging 23, five and five. I agree, the production speaks for itself. I don't know a lot of guys that's not in shape. I don't see his hands on his knees either. I just think. When he came in the league, the shape that he was in. When you look, when you look when he came in the league. Shoms, none of us looked like that from four years ago. But none of us looked like that. But he's dealt with a lot of lower body injuries. And every time he deals with lower body injuries, the team sees that he gets out of shape. He, like it's just how his body is. But then he always finds a way back and he's so competitive. I think it's a plus he wants to play. Like it doesn't matter how he's feeling, what his body's like. Like he wants to be out there. I think we saw his competitiveness last night. The fact that people were criticizing him. And the way that he looked against the Lakers, I will say this, he didn't approach that game the right way to me. Like when you watch. What did he do last night? His lack of aggressive. He was aggressive. How many points did he have last night? 36. 36. Why are we talking about the Lakers still? So that's what I'm saying. I agree. I hate that when players have these narratives stuck on them and we can't get over it. You know, for the sake of having something to talk about. And this is not for you Shoms, but this kid is, he's been battling injuries, right? 36 points last night. Big time win. It's like, why are we having anything negative to say about this kid? Because somebody else wants to put a narrative that this kid is fat out there. I think that the situation is that obviously the Pelicans in New Orleans, they know something we don't. Whether it's him not following the nutrition program, him being late to the weight room or whatever. He doesn't even look fat. I'm just saying that, that then to me is why they have a problem. During the course of your career, did you ever follow the nutritionist that the team provided for us? He's eating Chick-fil-A on the way home. All of us are out of shape. He has a different metabolism. That may be the problem. And his shack was huge. Jack, Charles, look at these dudes. They weren't big bodies. Right, he's not gonna be thin. That's not his body. I don't want him to be thin. He won't be as good as basketball if he were to be thin. Chandler makes a great point. I've never seen this kid huffing and puffing, running down the court. He's a big guy. I was about to say huge, and that was gonna ruin my whole point.  I just want us to celebrate him a little bit more. He's only 23 also. Yeah, he's gone through so much in his career and he's now in a stretch where he's hooping. I want this to go away. You know what, let's just wish it away. Yeah. All right, consider it done. Or just ignore the bad narratives that are made up anyways. That's probably the best thing to do. On the other side of things, Cat. That's the other guy that we're always looking to. Which version of Cat are we gonna get? Anthony Edwards, of course, is out. So the version we got at Cat was not the one you need. Two points on 0-6 shooting in the second half. There was not that long ago when he was 27-11, dude. Three time all-star. Explain to me, Cat. So my issue with him is the Anthony Davis effect where he disappears, right, he floats. You don't know which version of him you're gonna get. And still, even Carl and the Towns, look at his numbers, seven, 22 and nine. He's shooting, I think 43% from the three, 50 from the field. So he is still, listen, Carl and the Towns is an elite offensive player. He has the capability of being a good defender. It's just, I think, him is more personality, right? It's more personal trait, it's more people, people don't like him. People don't like him, and Rudy Gobert, no matter, whatever that is. But he still has the chance to, you know, this team goes as far as Anthony Edwards goes in my mind. And last night, they didn't have Anthony Edwards, so just throw this game out because it doesn't count in my eyes for their future and their season. But look, same thing with them. They're having a great year. What are they now? They're 17 and they're five. And he's a huge part of it. As much as they need Anthony Edwards, they need Carl Anthony Towns to be dominant as well. And I'll take 22 or nine every single night. It's just he's given us a taste of that he can do more than that, right? And we want to be consistent. We want it every single night because their team is deep, but it really, the only two go-to guys they have, there's no Austin Reeves, there's no, you know what I mean? There's no other guy that can go really and go get 25, 30. So this guy has to be every single night. If I'm the Timberwolves, listen, the grass ain't green on the other side. It's only a handful of guys that's averaging 21 and 10 in this league. And 95% of them aren't going to be available for trades. And they're not going to come to Minnesota in free agency. And so- What's wrong, Minnesota? Why not? It gets cold in Minnesota. It is very cold. The theme of the show. It gets cold in Minnesota. Obviously. Listen, I keep these guys together and let them continue to build. If you're looking for another second piece for Anthony Edwards, he's already there. It's weird, because I, you know, even though the T-wolves have the record they have, I almost don't trust them regardless. Like for the long run. Maybe now. I respect it. Yeah. Well, thank you. Hadn't done anything yet. Thank you, buddy. And I feel better. Nugget's Hawks. Nugget Nuggets at a three game losing skit. It's over now. Jamal Murray, season high, 29, 12, 15. Bogdan Bogdanovich, career high, 40 points. He was 10, 17. From the three, Jamal Murray had the 29. We get used to that after a while, right? But maybe not consistently in the regular season. All-star status for Jamal Murray. Where do you think that will be? Well, I think after his finals run last year, I think this was poised for this season for him to take the next step. And when you look, he's only played 11 games. Right. That's been the big thing for him is when he's in the lineup and he's playing consistent high minutes, he's so valuable. He's unbelievable. You see kind of the point guards in the East with Tyrese Halbert and Tyrese Maxey. These guys have kind of stepped up. Same thing in the West with Foxy. So that's a deep position. So you start talking about all-star and it might be tough this year just because the limited amount of games he's played. But you can see the Nugget's success. We all know how good Yolkic is. The Nugget's success is dependent on him. He's got the Chris Middleton effect like Milwaukee. He's got to be healthy. He's got to be the head of the snake. He's got to play this two-man game with Yolkic. And we see how good they can be. They're defending champs with him healthy. So 11 games. You're probably not going to make all-star playing that few of games. It's just injuries with Jamal Murray. I mean, when he's on the floor, we know what he's capable of. And the crazy part about Jamal Murray is when it's regular season time, it's like 16 points a game, 17 points a game. He always turns it up when it matters the most come playoff time. So I'm not concerned about Jamal Murray. I just think for the Nuggets, they just got to flow and they got to have home court and have him healthy for the playoff. And you see games with Yolkic, Jamal Murray out. Then Reggie Jackson is all of a sudden unbelievable. De'Andre Jordan had a huge game. So they have the infrastructure. They have the roster of these experienced guys that have been there before that they're going to win games with or without them. But to be a true contender, to go back to back, Jamal Murray's got to be healthy. I believe as defending champs are the best until they're not. So I know they had the three game losing streak. It happens. But you said something. Shyam said they just need to float to get to the postseason. Do you agree with that strategy? Yeah, I agree with that. I would say fine tuning.  So I don't think this team is concerned about where they are in the regular season. I think they know what they're capable of. They know what star power they have. They know what they're going to get out of their bench play and their role players. And so even though they're dealing with some injuries and a little bit of turbulence, I think this team is still fine tuning. And then once it gets to a point where it gets real at the end of the season, they lock in. Then they can turn it on. Trey Young was ejected, got a second technical missing, arguing a missed call on a play. So here it is. Y'all tell me who's right here. Ref or Trey? I mean, look, he did the James Harden thing where he initiated the contact, right? He kind of grabbed his arm. And it could go either way here. But I don't know if it's who. And then again, I didn't watch this. So I don't know if it was a lead up, if there was missed calls before or what. But again, this is Trey, you can't do this.  You have to be on the floor, you know, 26 minutes is not enough. So for your team to have any chance, especially beating the Nuggets, you got to have your best player on the floor. And he wasn't available just because of an emotional breakdown. But he can't afford to be doing this. It seemed like a very calm technical, though, as far as those go. I want to challenge my little brother to turn the page with the ref wars. You know, this is part of his reputation now. And I hate that because he's one of the best players in the NBA. And sometimes when your team is not having a lot of success, this becomes the only thing that people like to talk about. And it stains your name and it stains your reputation. And not only that, it gets exhausting playing eight against five every night. And I've shared the locker room with Trey. I know how passionate he is about basketball. I know how passionate he is about winning. And his reputation gets misunderstood because of things like this. And so I want him to be the bigger man, turn the page on these type of interactions, man.  And no one Trey too. We're not talking about him as much, right? Those point cards I just mentioned, you know, Darius Garland was the All-Star last year. And they used to like, I feel like Trey Young, when he came in, everyone was talking about him. And now that's kind of calmed down a little bit. It's frustrating, their team's not winning. They make the move for Giante Murray. That hasn't really panned out. So it's frustrating. And like Lou said, he's not a bad dude. So I hope he can figure it out and eliminate the refs. They're not going to change the call, right?  Okay, Trey, let's, let's, you know. It'd be amazing if that happens. My bad. It's not going to happen. So don't let it affect your mental. It'll not affect your game. All right, fair enough. Got a little advice corner we just had. Impromptu, I like that. Cavs Magic. Don't look now, but Orlando. What is happening? Maybe Cleveland, Paulo Bencaro had 20 and 10. Franz Wagner, 19 and eight. And Darius Garland, he did have 36, six and five in the losing effort here, but Magic are 16 and seven, Lou. They are second in the East right now. I put them in that Timberwolves sort of umbrella where it's like, do we take them seriously though as contenders? Not yet. Not yet. In order for them to be contenders for me, this is going to be a long play game. You know, they have to make a splash in the playoffs. They got to make sure the league understands that they have arrived and they're here and them being second in the East is a real thing. And so, you know, any team can have some success, 20 games in. Right. And then you start dealing with some adversity, start dealing with some injuries, and then that's when you begin to see what your team is really made of. And so for me, for this team, to make sure everybody takes them serious as a contender, they got to make a real splash in the playoffs. Who's on the show tomorrow, Chandler? We got Jamal Mose on the show tomorrow. I love that. Coach of the year, Jamal Mose. Tees right there, right? I love it. Very professional. Last week, Lou and Danny Green were here. They said they're not yet ready to consider Paulo Bankero as the dude you build around. What do you think about that? I said that? Yeah, you've really good. I disagree. I was in a moment. I disagree. I mean, look, you look at what he did last year. Now he's at, he's averaging 21, 7, and 5 in his second year of the NBA, leading this team who was historically bad the last two or three years, literally until the day they drafted him. And they struggled last year, but this kid can do it all. He's versatile. And you look at the team, the reason we don't trust them, Michelle, is because they don't have that bona fide star. They don't have that all-star. So are you agreeing? No, because I do think Paulo is so young and his future is so bright. And then you throw in a Franz Wagner, but Wagner? Wagner. I love him too. So when you have two unselfish leaders like that that are all growing together and they seem like they don't really care who gets the credit, it's like, it's a young team, it's fun, and they defend, man. And Cole Anthony off the bench has been a spark plug, and this is without Wendell Carter, this without Markel Fultz in the lineup consistently. So this team is deep. They add guys like Joe Ingalls, who that does wonders for that locker room and the leadership. So I think Paulo is a great foundation piece for the future. He's versatile, he can defend. He got the USA experience this summer. So I disagree. I think he's great. I think, Orlana, what Jamal Mosey has done to that team and that city. I'm from there. Place isn't awesome. And I haven't felt this buzz or heard this buzz since the Dwight Howard that time. So listen, are they gonna go to the Eastern Conference Finals this year? No, they're gonna contend. That's a big statement. I'm telling you, the team. Because it was jumping during those days.  Look at the crowds. When you watch our Land of Magic game, it is a different atmosphere in that arena now. Now, you pay attention. Yeah. Are they gonna go to the finals this year? I don't know, like Lou said, it's a long play with this team. They're still so young. I'm not gonna put all my trust in them this season, but they're building something great. I'll tell you that. Yeah, you can't knock what they're doing so far. Darius Garland had 36. Injuries has sort of been the thing that's plagued him so far. He has made an all-star team, but as far as ceiling goes with him, Lou, where are we putting that? When healthy, I think he's a perennial all-star. I think this is something that he can do every year. Playing at a high level, he's been one of the leaders of this basketball team and keeping them afloat. But Cleveland, very much like Orlando, they gotta make a splash. They gotta make a splash in the playoffs for people to take these things serious. I don't want this to become a thing where they're playing hard up until all-star to get all-star looks. And then after that, they kind of flame out. And I think we saw that last year when they had guys being considered for all-star and then after that kind of fizzled out going into the season. And so what's his ceiling? I think he can be a perennial all-star. This is something that he can do every year, but he gotta get this group over the hump and he gotta stay healthy. Cavs are 13 and 10, seventh in the East. I know that we're on sort of Donna and Mitchell watch. And we have been since he got there, basically.  What's gonna happen? Should we be concerned? Should they be concerned? Well, there's real pressure overall and throughout this organization. And with Donna and Mitchell, his expectations for this team is trying to compete for a championship. Even though JB Bickerstaff last year led this team to their first playoff berth, since, like without LeBron James, first playoff berth since the late 90s. So to them, they're making progress every single year. And even now, they won nine of their last 13. They haven't had a full roster all year, like consistently health-wise throughout the whole season. Now they have a back-to-back against Boston tonight and then again on Thursday. So their schedule is tough. So I think this is a team that's still trying to find itself, but there is a lot of pressure throughout this organization. And it's to compete and it's to win. And a lot of that has to do, obviously, with the future of Donna and Mitchell. And the problem is when you decline the Sunday extension like that, that basically, that tells you everything, right? Like, he's not sure about the future here. And you could even tell. He's just got a different feel. He's got a different buzz. It doesn't seem like he's as happy as he was last year here, which is weird to me because like Lou said earlier, the grass ain't always greener on the other side. And when you look at this Cavs team with Evan Mobley, Darius Garling, they have all this young talent, Jared Allen, they have these foundational pieces that they could really grow together. And I think that loss to Nick's last year in the first round was devastating. And I'm actually kind of concerned and confused about their start this year. I thought they were gonna use that as fuel, go into the off-season, take this huge jump and be one of these teams we're talking about. And for whatever reason, they're not. And it does start with Donna and Mitchell, but my guess is he's out of there. I think he's out of there. And so it begins. Keep our eye on it. All right, Scoop's time, Shom's Scoop. You know, sometimes you have Scoop, Shoms during the day where I want to text you and be like, I don't like this one. And this first one with Mitchell Robinson, I did not care for this one. Yeah, Nick's. Yeah, that was bummed. This is the tough one because Mitchell Robinson had, I think, a great season, six points a game, 10 plus rebounds a game. He averaged almost two blocks a game. I think for the Knicks, what's tough here is left ankle surgery. He's had a lot of ankle problems. He's had a lot of knee problems. He's out the next eight to 10 weeks at least. And you never, ankle's not a good spot for a surgery.   He's tall, not wise. Well, there was the science behind it. That's why, that's why, that's why. You know what, that was on me for asking. By the way, it's like Tyree Kill last night walks to the game, walks to the game. I can't sit next to him. Honestly, we are separating you. Tyree Kill walks to the game, holding McDonald's before the game.  It's bad optics. It's like, stop. I know, it's just eat salad. It's bad optics. Okay, I can't believe it. We're officially, I can see the light at the end of the tunnel with John Morant. It's coming. He's gonna be back. He's gonna be barring any issues. John Morant will make his season debut December 19th next week in New Orleans and he's been ramping up. I'm told he looks great. He's been playing three on three, playing four on four the last few weeks. He's been ramping up. He's ready to go. And another thing, Marcus Smart has been out with a foot sprain. I'm told he's gonna be back shortly after John Morant. So you're starting to see this Memphis team. Gotta have to, not a great start this year. We all know about it. Yeah, fair. We know how many injuries they've dealt with but now John Morant's on his way back gonna make his debut next week. Marcus Smart shortly after we'll return. There's six games out of the seven to 10 seed. Is there any way they can get there? No, you know what? I'm really fascinated that Shoms has all this information. It really fascinates me because as a player, Chandler, you know we go into the locker room and we're looking at the board and we have no clue who's playing. Right. But he knows a week before? He knows it a week before. It's so fascinating that you're able to get that information. I'm starting to think it's because you two don't pay attention personally. Yeah, I could leave it. I think it's on you guys. I'll tell you this one. No, it's literally Shoms scoops. Yeah, we don't have our own segment. We got the school. Keep acting like this. You're never gonna have that, Chandler. Gabe Vincent, a lot of street clothes and when will that stop? He's only played four games so far this year. He's been dealing with swelling in his knee. Last played on October 30th. I'm told he is targeting a return next Monday on the 18th against the New York Knicks.  That's also the night they're gonna raise the in-season tournament championship banner. Oh, big night. The big men are little banners. It's a full-time, what do you call it? It's like an eternal banner? No, a forever banner. Forever banner. Like a flyer they're gonna put on the window. So let's say they went again next year, they're just gonna put the year. That's it. Yeah, they just add another banner. But if you never have another one, it's just then the one year. It's gonna be 2023, yeah, it's gonna be that. But I think the Lakers really are looking forward to this return. He's supposed to play a big role on this team. I mean, this is a guy that was supposed to go in and compete potentially to start with D'Angelo Russell, but now he's gonna come off the bench. And I'm high on this situation because you think about the trade deadline, right? You think about D'Angelo Russell's future. You think about Gabe Vincent there. A lot of it has to do with how he comes back and how he plays. I'm just picturing like Washington winning it next year and putting a Florida ceiling banner. Hey, you know what? It's perspective. It's gonna be different for every team. It's 100% gonna be different. It should be. Some teams are just better. PJ Tucker not pleased with the situation right now. PJ Tucker has been expressing frustration about his situation, his role with the Clippers from what I'm told. Both sides, the Clippers, Tucker, they're discussing how to resolve the situation, whether it's a bigger role with the Clippers or elsewhere. And there's multiple contenders monitoring him. We know about PJ Tucker the last 12 years, literally 12 years straight. He's been playing big minutes. He's been a big level contributor, 2021 NBA champion. He's a guy that's used to playing. He's not used to getting DNP. He's been DNP coach's decision for six straight games watching his remain professional. But he's hopeful for a resolution here. Lou said earlier, where'd you want to see him go? Put him on Orlando. Put him on Orlando. Mo, get him on Orlando. That's exactly the type of guy that they need on that team for the playoffs for this stretch. I would love to see him on the Magic. Well, tomorrow you can plead for your case. Yeah, obviously, write it down. And I'm always a big fan of like our OGs going out on their own two feet on their own. I don't like this for PJ Tucker being at the, you know, possibly. Well, this is the end of his career. He's 38 years old, knows how much basketball is left. But I would like to see him go out on his own two. December 15th, I mean, God, it's right around the corner. Most free agents have become trade eligible. And that means we immediately look north to Canada. What can we expect? Michelle, we've been talking, I think we've been talking about Toronto for the last two years. 9 and 14, off to another slow start. I think it's fueled, definitely teams are on the league with the belief that more than ever now, one of Pascal Siakam, Oroj, and OG Ananubi could be traded. Some of the same teams are really going after both of them. Atlanta, Indiana, Sacramento. And my sense is it's likely that Siakam has moved over OG Ananubi. But we'll see. The way Toronto operates, they're going to take this up right to the deadline in February. And I think you lose Fred Van Blee for nothing last season in free agency. I think everyone around the league is very curious about Messiah's Dream. And this is the date with the Lakers, right? Where D Lo and Rui, those guys, can be moved? D Lo's are also going to be moved December 15th. Rui Hachamura can be moved January 15th. I don't think Lakers are suitors for either of those two. But I think overall, for sure, the market opens up December 15th across the league. And I think everyone's looking at Toronto. We've been talking about Toronto. Toronto and Chicago, just do it already. Every year. For God's sakes.  This is the year. I can feel it. All right, we're going to take a quick break right now when we come back. He returns, friend of the show. Mack McClung, standing by. You too, baby.   Mack McClung feeds the drum culture. I'm too flat. Gets upstairs. Get on my left. Oh, he is back. Of course, he's the Slam Dunk champion from last year. Play for the Bulls Lakers, Sixers, 2023 G-League champion. And right now, by the way, Mack, G-League player of the month. So what's the deal? When do we expect you back on an NBA floor? Talk to us. Yeah, I mean, I don't have the answer to that. That's all in other people's hands. But all I'm doing right now is just staying ready and just making sure I'm prepared when that moment comes. Stay ready. Be ready. Mack, you had a stand with the Lakers a few years ago. What was it like being around LeBron? What was it like being on the Lakers and just being on the team like that? Yeah, I mean, it was my first year.  It was like I was in a video game or something, hearing them talk in a meeting for the first time. So I think it was really cool for me to just grow up and see what it takes. Like a guy that's the best in the league, in the film room for however long he is, and the first one in the gym, it was like, man, this is what it is. Like, this didn't just happen. So that was really big for me to see also guys like Rondo and other vets like Carmelo, just how they kind of took their day to day. It was really cool for me. LeBron's also called you one of the greatest dunkers ever. So line me up here. You against LeBron, dunk contest, or you and LeBron facing off. How does that look like? Man, first, that's a big honor. I'll tell my kids about that one day for sure. But yeah, I'll probably say like, you talking about right now, LeBron? Or like, prime? Man, don't be, don't be scared, say it. Either way, I'm too scared to say it. Either way, I'm taking you, bro. I don't know. I don't know. I think Young LeBron maybe has it. But right now, I think I could probably get it. He's a humble guy, man. Mm-hmm. You also played last year with Stint with Philly. What was your favorite part about that? Did you ever get some run with the big fella, Joel? How was that experience? Not much, really. I think I got my first NBA game where I got over like 25 minutes. And it was like, it was probably the best game I've had in my career.  And I was like, they gave me a lot of confidence that game. I had a decent game. So it kind of gave me confidence that, hey, I can make an impact. Yeah, and also the last game against Brooklyn, you had that 20 piece right there. That's not easy to do in the league. Not a lot of guys can't say they did that. Was were you just in the zone that night? What was going on there? Yeah, that was the first game I got. More than 20 minutes in the NBA. So it was just like, you know, I got to take advantage of this. And, you know, being in the G-League most of the year, it's like you're never downgrading what you're doing at the moment, but just being ready for like, hey, I'm doing this because I want to be in the NBA. Mac, I played in the G-League when it was called the D-League, the developmental league, and they were still trying to figure it out and get it off the ground. And we were going through a lot of growing pains when I played in it. What's G-League life like now versus the NBA life? Yeah, I mean, it's definitely grown from the D-League and, you know, they're doing a great job with that. I would say like, it's a grind. You know, you're going to motels, not hotels. You're doing all these things, but it's beautiful because it's like, as you know, it's a bunch of underdogs and they're all trying to make it. And there's something beautiful about being in the gym with these guys, like everybody's chasing a dream. And it's special in a way. Obviously I want to be in the NBA, but I'm definitely not proud to be in this league. Mac, you've spent some time around some great players. Another one, Steph Curry, 2022, Warriors training camp. What was that like spending time?  Like, what was that like? That was really cool too. I've been lucky, man, to be around some of the greatest players of all time in training camps and years in the NBA. So just seeing those guys, the biggest thing I noticed with them was just, you know, they would take their time or they would talk to me like a guy that's like on an unguaranteed contract trying to help me, which just shows like kind of, you know, their kindness and attention to every detail. Everybody in that organization was really just professional. And you can, you see why people win and some organizations don't. So yeah, nothing but great things to say about them and being a part of that. I know, I know you think Steph Curry is a goat. Do you think he's the best point guard in NBA history? Yeah, I mean, it doesn't matter because there's no right answer at the end of the day, everybody has their own opinions, but my personal opinion, I do think he is. You know what, that's all that matters. The answer is yes. If you, yeah, you think it, you think it. Look, people that may not have been familiar with you are very much familiar with you now after the slam dunk contest last year. You won the whole thing. Do you expect to be invited back? How does it work? Do they talk to you? Yeah, I'm not sure. We'll see what happens. They contacted me last year and if they do this year, I will just, we'll make a decision from there. If you do get that call, Mac, do you have some other crazy dunks up your sleeve that no one's seen yet before? Maybe a couple. I would definitely go to work on it and you know, I'd make sure I put all the effort into come with something that hasn't been seen before. And also guys like Shaq, Reggie Miller, these legends, they're talking about how you save the dunk contest. What you did, by the way. How does that feel hearing that? Oh, it's an incredible honor. I mean, the dunk contest, I think, as little kids is just something I would just always just love watching. I don't know, there's something about it. It's just something so magical. And I was like, I was really in awe when I got to be a part of it. I was like confused. I was like, okay, like, yeah, I'll do it. But no, it was so cool, man. It was just like a, it was a larger than life moment really for me. Did you have a personal fave from any of the things you did? The dunks I did? Yeah. Definitely the first one. I was so nervous, man. I just, I was thinking God, it went in the first time. I think that's one of the biggest things is getting that first dunk to go in.  He made all his dunks, too. He made all the first try. First try. I feel like you lose momentum. Like, was that big for you? Was that big for you? Like, I know I have to make it on the first try. Yeah, absolutely. I think that's, like you said, it's like deflating the miss. And I'm not going to say if I did it again, I wouldn't miss. I mean, it's like, it's partial luck and, you know, preparation thing, but I think that momentum of getting your first dunk really is, is everything. Can breathe a little bit easier. In high school, you went viral many, many times for the dunks so much so that Drake, I just love saying this, slid into the DMs. What, Drake, what are you doing? But he asked for a jersey. So A, did you send him one? And B, were you worried about the Drake curse at all by sending him anything? Um, I wasn't aware of the Drake curse. Oh, it's bad. Well, now, now that you've said it, no, the man literally posted a picture of Ohtani two days before he signed with Ohtani. And he went to the doctor. He's cursed. But no, I didn't, I didn't know about that. But, um, yeah, no, he, it was, it was cool to hear that reach out, you know? I think I was, I was actually listening to a Drake song when he slid in my DMs and it was just a cool moment for me and my, my hometown boys, they're all in the car with me. So it was, it was really cool. Okay, that's actually pretty funny. Has anybody else, uh, famous, sort of messaged you in any capacity that we need to know about? They channelized me about people's day for sure. No, it doesn't have to be a romance. Channel might make it awkward, but yeah, it doesn't have to be, could be about dunks, obviously. Yeah, that night, I think there was, there was a lot of messages. I didn't even really get on too much about it. It was just, you know, there was so much going on. So it was, it was a bunch of players just showing a lot of, you know, showing a lot of love.  Do you feel like people just view you as a dunker? Like how do you go about every day proving people? You know, there's a lot more to my game. There's more that I can do. Yeah, I mean, I think maybe when I was younger, it bothered me and obviously the dunk contest, people are gonna think of me as dunk first, absolutely. But it's not like I'm really trying to prove anything to the people that don't know anything about me.  You'll go look. You'll go look at my stats. You'll look at the opportunities I've been given and what I've done with them and go from there. I'm not really, I'm really, I'm not playing to any type of gallery right now, just trying to be the best version of myself. Onto the important stuff. Your cousin, Riff Raff, he once nicknamed you Ivory Aller. It's the cousin of his Riff Raff? It's the cousin of his Riff Raff. He once nicknamed you Ivory Iverson. That's pretty good, actually. You cool with that nickname? How did that come about? Yeah, Lou, that's not my cousin. So, he just said he was my cousin and... I was gonna say it. I have not got away from that in years, but... Do you even, okay, do you even know him? Not really. What is happening? Never met him. What is happening? Matt, have you ever met him? Never. That's hilarious. How did we get here? This is great. I didn't even know, I didn't know, I knew nothing about this. Okay, well listen. Not your cousin, Riff Raff? Yeah. Do you like the nickname? You know Riff Raff. I've heard of it. Do what? Riff Raff, I'll tell some Riff Raff, man. Here we go. It's fine with me. I mean, it's, I don't know. Whatever people want to call me, I don't really look into it too much. That's, yeah, that's hilarious. You bring that up, man. It's trust me. I don't even know what to do with this right now. So, he's just been going around until, why would he, why? Why would he do that? Why would he do that? Matt, why would he do that? He probably did after the dunk contest. He probably did after the dunk contest. It's racial. It's always racial. All right, so we've learned something today. I feel like that was the biggest thing. But Ivory Iverson's kind of a, do you like the nickname, by the way? Kind of hate it. I mean, it's a compliment for sure. I mean, I don't have a problem with it. I don't love it. Mack, this has been awesome. Our entire research department's obviously fired. So we appreciate you for pointing that out to us. And we'll make sure it doesn't happen again. We want to see you in a dunk contest again, bro. 100%. Make that happen. Matter of fact, I'm not watching unless you're in it. So get back in there, thanks. I like that. Thanks, Mack. Appreciate the time. Good luck. Rest of the way. We'll be back. Say what? Run it off. Run it back. Run it off. Run it back. Run it off. Run it back. Run it off. Run it back. Jalen, can you walk us through what led to the ejection? To be honest, I'm not sure. But I wish I would've got my money's worth. I always thought my first career ejection would be something a little more exciting. You know, maybe a tussle or something.  All right. All right, Chandler. What do you think about that? By the way, that sweater, I would live in that sweater. It's so cozy. I mean, look. I like it. It is funny because when you think of an ejection, you think of like an outburst. You want to earn it. And it's a lot of money. You're fined. You're kicked out of the game. So you want to, it needs to be something bad, not this. And again, refs are humans. They have their own personal relationships with players and sometimes enough snuffs. And sometimes a ref could say, all right, no more. And then if you literally say one more word, they're giving you the heave-ho. So this, I don't know exactly what was said, but this did seem a little light. An over-emotional ref that he delivered it in one tone. Anthony Edwards, I feel like I know the answer to this one already. Said he does not like being referred to as an all-star. That the all-star game selection didn't count. Somebody got hurt and I was the fallback guy. What do you think about that attitude, Lou? Listen, Lou, bro. Take them how they come, all right. Take it from a guy who's been a finalist three times and never made it. Take the all-star selections however they come. And trust me, it's going to help in your renegotiations to be able to say I'm a one-time, two-time, three-time all-star. You should pay me X amount of dollars. Who cares how you got in? You were in. Take them. And when you got that bonus from your shoe deal, it didn't say replacement. It said all-star. I'm a little bit surprised by both of these attitudes. Interesting. Again, on his resume and his hall of fame. Forever, right? It's not going to say replacement. It's just going to say. I would love for mine to say one-time all-star. Yeah. Take it. I mean, it's like president. You're forever that. That's your title. All right, fair enough. You changed my mind. Pelicans forward Trey Murphy of the Thud said this about playing with Jordan Hawkins. Quote, there's maybe one other duo that can shoot better than me and Hawk and I'd still have to have an argument with that. He's like, what now? Who's the duo? He's referring to Clay and Steph? It could be anyone. There's a lot. That's what I'm assuming. I mean, are they on the same, like in the same planet? Galaxy? The same tier? No. I'm glad this says Chandler. Yeah, that's the point. Listen, they both can't shoot.   It's a small sample size. We need to see a lot more. They're also referring to maybe the greatest duo of all time. Maybe they're the only ones that are ahead of them. Listen, confidence is great, but he's drunk. I like that he said, I'll still have to have an argument with that. But also when you look around like the shooting duos, like Middleton and Dame, like, I don't know, the shooting, they can shoot, but like, again, we're talking about a teeny sample size. Do it for a couple more years, then maybe I'll buy. Shoms and irons. Then maybe I'll buy, but they both are snipers. I like it. I like it very much. Look, if you don't vote for yourself, who will? That's the one thing they teach you in high school. All right, Lou, you're up. Rashid Wallace is kind of taking the blame right now for Draymond's behavior. Quote, that's our fault. I saw that. He grew up in the 2004 Pistons locker room. One of his best friends was the son of the GM. So he was around us. That's why he's doing the bully. He's doing now. Do you agree with that? Everybody has influences. And I'm sure Draymond took some of that influence and carried it with him, but I don't recall this being his temperament in high school. I don't recall this being his temperament at Michigan State. He did have a couple things at Michigan, didn't he? Were he like, sort of physically? I mean, it wasn't his calling card as much as it is now. But I'm sure he drew some inspiration from being around those guys and seeing how they operated. And once he got into a position in his career where he felt like he can express himself in the same manner that he drew from that. So I would say, I would say sure. I'm right. All right. I like it. Chandler, you're up. Mav Sen. Derek Lively said he would rather be four, five than seven, one. Quote, being seven foot is painful. It's annoying, unpractical. No clothes ever fit me. Can't fit in a car. Can't fit in a normal seat on a plane. These seem like respectable problems.  We wouldn't be talking about you if you weren't seven, one.  You're in the NBA because you're seven, one. I'm assuming he's kidding. I'm assuming four, five in total. Also I could have said five, five. Four, five is. Different. Yeah, no, this is, this is, I don't know what he's even trying to do here, but this makes zero. But his complaints seem valid. Like all those things, although you don't use it in normal. I mean, I'm tall, I'm six, nine.  When was the last time you sat in a normal seat on a plane? Well, six months out of the year, he's on private jet. Thank you. So. And that's a good point. It's configured for giants. That's, this, this is, this is ridiculous. No. The close thing I have wondered about, you have to get everything made, right? Or tailored at least. Yeah. For sure. That seems annoying to me. I think you do too at four, five. Well, you can buy like kid stuff. It's loose, loose. Lose, lose, lose. Darvin' Ham, that's true. You should have picked a five.  Four, five. He wanted us to feel sorry for him. If I, give me a break. Maybe somewhere in the middle is where he should have gone with that. Like five, eight, five, eight's normal and fine.  Like me. Yeah. And I'm perfectly okay with everything. And I still have issues on airplanes as well. So, there you go. This is such a sad episode. Darvin' Ham recently said this about LeBron James. Quote, do no disrespect to anyone, but he's the best quarterback in the league. Is there anyone better, Lou? I'd have to agree with Darvin' Ham on this one. Darvin' Ham. Yeah. I mean, defensively, you can hear LeBron on TV being the quarterback, being a safety back there, making sure the defense is in order to communicate at a high level. And offensively, we've always seen him pick offenses apart and being the floor general. And so, I don't know who he would have been able to disrespect by saying this. I think a lot of guys in the NBA would agree. This man was literally telling AD how to guard the post, how to score. Oh, yeah. Coaching everybody. He is the best quarterback in the NBA. I don't know. We should ask Trey Murphy the third and make sure before we do all that. Because I don't know what he thinks. We're going to go around the league. Lakers, Mavs, big game tonight, both of them sitting at 14-9, 14-8. Austin Reeves was on yesterday. He said that they didn't think that they would be hanging a banner. And it turns out he was not right. They are. I mean, we mentioned earlier, next Monday against the Knicks, they're going to hang an in-season tournament championship banner. And it's going to be a different shape, a different color. It's only going to be a one-banner thing where if they win in future years, they'll just add the year on later. And I think Lakers have always been the team. You know, you're going to only celebrate championships. There's not going to be any banners for conference finals. And you're not going to give a banner for divisions. But this is a big deal for the league. I think there's a big deal around the league. I think whoever would have won it would have put up some form of honoring for it. So we know how much of a deal and how big, you know, the NBA wants. I wonder, do they do the whole ceremony where they introduce all the coaches and players? No. Well, only if they give them their money, which we heard is not going to be all of that. I wonder, that would be interesting though. Imagine like rolling out a cart of money. I'd be down for it. Right? I don't know if it'll be safe, you know. You'd be down for it. Give everybody a briefcase. I didn't think about that. You're right. That'd be great. A lot of problems that would probably make. So Lakers, obviously with the in-season tournament win, I'm wondering if it did anything to change your mind as far as their capabilities for winning it all this season? Yeah, I think it's a tall task. But I think depending on the moves they make, how quickly Gabe Vincent, so he's returning soon. But when you look at the Western Conference standings, Minnesota's one, Oklahoma City's two, Dallas is three. Crazy. I think Lakers are better than all three of those teams. So when you look at the wherever one's at, yeah, I think they have a real chance. They still have to go through the nuggets. You know the Clippers are going to make a run. So I think the Lakers are right there. As long as LeBron James can keep doing what he's doing, we see more of Anthony Davis in the in-season tournament championship. And they're getting contributions from everybody, from D Lo, from Reeves. Yeah, they're a balanced team that are prime to win it. Mavs, Kyrie Irving, out. Who steps up? I need a four or five, Derek Lively, to step up. I think he becomes more of a pick and roll threat that he's already been. I think they lock in. That's my bad. I think they lock in with Luca and get Derek Lively going, playing a little better. Seth Curry is getting back in the swing of things. Numbers are down right now. But I feel like this is a great opportunity for him to find his rhythm going forward in the season. Also, I thought this was going to be like the breakout year for Jaden Hardy. And I feel like his minutes have been inconsistent. He showed flashes last year in the summer that he can be that score. They can go and get you 20, 30 points. And he hasn't done that. Josh Green, same thing. I was looking for both of these young guards to kind of step up. Now Kyrie Irving's out. Now's your chance. Now is your chance. Another game tonight, Warriors, Sons. Biggest challenge as they start to implement Bradley Beale Chandler. What will it be for this team? It's just going to be a little bit of everything offensively. How are they going to get into their offense? Who's going to play point guard? How are the rotations going to work? Who's going to be the odd man now? Like, is Bates Diop going to now not play? Grace Nallin's minutes are going to fluctuate. Everything's going to alter a little bit. But this is a luxury. It's a great problem for them to have. I hope all three of them can make that return and just see how explosive they can be. Because when you look at it, they're all these scoring wings that can post up, that can space the floor, that can handle on pick and roll. So you don't really need a true point guard. So I'm not too concerned about that. Who are they going to guard? Are they going to help on the pick and roll? Someone's going to be open. You're not going to be able to double team all three of these guys. So that is the huge luxury that they have. And it's going to be exciting to watch. It's a good problem to have. We have a quick break right now when we come back. Wrapping things up. We'll turn it back. I went on a date with this girl one time. I forget where we were going. Where was it at? Might have been in, like, Chicago or something like that. We went on a date. I got to the spot, right? We were just sitting at the bar, waiting for our table, getting drinks, whatever. She opened up her phone. The last thing she had on her phone was Aaron Gordon's network.  That's your number one lesson. And number two, what? This is normal. That's gross. Yeah, I don't know why you surprised. He seemed a little while. It seemed like it's happened, but he was just recollecting one particular lady. Does this really, like, have you caught anyone? Well, they just tell you. I'm sorry? Yeah, it just goes without being said. You know for the most part that this is what they're after, which is funny. Me and Lou just thought, like, what are you getting? You're not getting money. I didn't give you none of that. I'm rich, not you. You can look up whatever you want to look up. It's gross and thirsty. It's called window shopping. Yeah, that's what it's called. And by the way, we Google her too. But it's just funny that she literally didn't even have the decency to Google her. I'm sure that's not her first NBA date. I can't even defend it, by the way, as the sole chick up here. It is what it is. We'll be back tomorrow. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back. I'll be back.


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So, today we shall continue the study of manifolds with boundary, the basic thing here is instead of the model Rn we shall use the half space model hn, this h upper n denotes all points of Rn where in the nth coordinate is greater than equal to 0, so if n is 1 this is just the closed interval the whole ray from 0 closed to infinity open, so it is like that the half space at the topological space x is called manifold with boundary, if it is second countable harsh darkness those things are there as usual, but now the at last the charts are taking place at each point x we have a neighborhood ux and a homomorphism homomorphism of an open subset ux to hn namely inside an open subset of hn, so that is the only difference, so if you understand what kind of open subset of hn come then as compared to open subsets of Rn then you will understand the meaning of this definition as compared to our old definition of a manifold, namely you have to, being a subspace of Rn a subset of hn is open if it only if it is the intersection of an open subset in Rn with hn, so therefore suppose I take a open disk for example in Rn and when I intersect with hn it may be like a portion of that open disk, cut off by the plane hyper plane namely xn equal to 0 everything xn less than 0 xn less than 0 will be thrown out, so on the other hand the intersection with Rn minus 1 itself will be there ok, so those points should be there, those points if they are present then that such a set will not be an open subset of Rn itself hn itself is not an open subset of Rn ok, so that is the point that you have to pay attention to, so denote by interior of x for such a manifold such a definition I mean whatever you have defined the set of all those points x having a neighborhood ux, homeomorphic to an open subset of interior of hn wherein n is strictly positive since this interior of hn is an open subset of Rn, this will be an open subset of ux will be a homeomorphic to an open subset of Rn itself, such points will constitute our manifold with the old definition ok, so I am going to denote interior of x to be all those points having neighborhood ux, homeomorphic to an open subset of interior of hn which will be same as open subset of Rn, I do not have to change, I do not have to go to Rn within interior of hn it is fine work, clearly this forms an open subset of x ok, once neighborhood has that point every point inside that neighborhood will be also belong to that therefore, it is an open subset of x and it is a topological n manifold in the old sense now because the open subsets which are not in the interior they may cause problems, so those things are not taken here ok, so can you see why interior of x is non-empty if x is non-empty, why it should be that interior should be non-empty for the moment something is an open subset of hn intersects with interior of hn it has to be non-empty, therefore that part of the neighborhood will constitute to the interior of it goes inside the interior of x, so it is interior of x is non-empty, the complement of interior of x in x is denoted by boundary of x, so this you should not confuse with the definition of boundary of a subset of a topological space, so in topology the boundary of a set is defined by the old definition of this boundary, the boundary of for example a disk is a circle and so on no matter where they are contained in this is a manifold boundary and this was sacrosanct the definition topological definition of a boundary of a subset is adopted from the properties of the boundary of x rather than the other way around, so this is called the boundary of x, so we will have this notation, we will not use this notation for an arbitrary subset a of x and then boundary of x, we will not use that, we will use a bar minus a interior a dot or some such thing, so clearly it is closed subset of x because it is a complement of the interior which is an open subset, it may happen that boundary of x is empty, we cannot say that because all the charts may actually land up inside interior of h n, in which case the entire of x will be in the interior of x, so this interior of x in ordinary topological space, if x is a topological space interior of x is itself but here it is not the case, so this is some other definition interior boundary but it can happen that interior of x is the whole of x in which case x will be a manifold in the old sense, so in the new definition we have not thrown away the old definition, we have adopted that one, so this new definition is actually an extension of the old definition, we could have just called these are manifolds, the only possibility is that they can have, so what are called as boundary points, the points of boundary of x, now comes the crucial thing pay attention to this one are characterized by the following property, what is it, there is a neighborhood u x of x and a homomorphism of field from u x such that the nth coordinate of phi x, nth coordinate of phi x actually is 0, I can always arrange this, this is the characterization of the points on the boundary, you have a field such that the nth coordinate is not 0, then it will be automatically in the interior of h therefore it will belong to interior of x, remember our definition of interior of x and boundary of x are completely complementary, one cannot be the other, there is no intersection there, therefore so all such phi which are all such points x must have such a homomorphism and once it has a one single such neighborhood and a homomorphism like coordinate like this, it will have to be in the boundary of course it is again a simple consequence of topological invariance of the main, I repeat this one namely if under say phi 1 the nth coordinate is 0 and phi 2 the nth coordinate is not 0 for the same x, this cannot happen because when you take phi 1 into phi 1 inverse phi 2 then you will get a half or half open interval half open neighborhood namely open set inside h n which is not open in R n, you will go to an open subset of R n and that will contradict what invariance of domain, if you have two subsets of R n which are homomorphic, if one is open the other one must be open inside R n, so here it will happen open inside h n only so that is not possible okay, so once a point belongs to the boundary with this characterization with one chart namely the nth coordinate is 0 then for any other chart at that point the nth coordinate has to be 0 for that point okay, so let us go ahead it follows that if you take u hat which is equal to phi inverse of R n minus R n minus 1 cross 0 just take the restriction R n minus 1 cross 0 of the image and then take the inverse that is phi inverse of R n minus 1 cross 0 so that will be a subset of actually a closed subset of u or u hat u x this will be a neighborhood of x because x belongs to the nth coordinate function of x itself is 0 okay but all these points now must be inside because the nth coordinate is 0 here must be inside boundary effects okay, so this will give you a chart for x inside the boundary of x so what we have just proved is that the boundary of x itself is a manifold of dimension 1 less namely R n minus 1 now, hostersness and second countability automatically are satisfied therefore the boundary of x if it is non-empty is itself a topological n minus 1 dimension manifold okay and that manifold boundary effects will not have any boundary because now everything is inside open R n minus 1, R n minus 1 cross 0 is homomorphic to R n minus okay not h n not h n minus 1 okay so they will all be in the interior or this manifold so boundary of a boundary is empty always we shall most often use the word manifold to mean a manifold without boundary okay only for that reason we define the manifold with model inside R n instead of h n okay often the results are stated okay for manifolds so called manifold without boundary but they are valid for manifolds with boundary also however sometimes what we have to take a you know slightly different version and it proves to me also be slightly different but because of time constraint and to emphasize on the concepts involved we will prove many of these results only for manifolds without boundary which we keep calling only manifolds no without boundary manifolds meet automatically without boundary if there is a boundary we will specifically mention it because those cases are less okay so we shall now introduce a notion which comes handy in proving a number of results which are valid for manifolds for manifolds okay with boundary also once you prove some result for a manifold okay then automatically it will prove for manifolds without boundary okay so that you do not have to mention that one or maybe let us with a little more effort so there is one but not all of them will do but many of them will do so that is why we are proving this so that is the concept of double of a manifold start with any manifold in which boundary of x is non-empty that is important we may assume that x and boundary of x are connected also to get a picture what exactly is going on okay think of a arc for example half arc or a whatever inside a circle closed circle closed arc now take the same another copy of it and along the boundary points you identify them a point corresponding point on the other one because I am taking same copy right identify them what you get you would let a circle that is what I mean by a double of a manifold so we will should define this one more carefully here okay let ui vi be an atlas for x with phi i taking values in h n as usual let x plus minus denote any two copies of x okay that plus minus denotes the same x with you know one copy x plus and that is what for x plus we take the same atlas as for x for x minus we will the atlas will be denoted by phi i minus which is phi i but I follow the reflection namely the nth coordinate I will change it to minus the phi i r composite phi i where r from r into r n is given by x 1, x 2, x n x going to x 1, x 2, x n minus 1 minus x n okay all right now let eta denote boundary of x plus to boundary of x minus the identity function because it is the it is the the same copy after all okay that dx denote the quotient of x plus determinant in x minus where x belong to boundary of x will be identified with eta x belong to boundary of eta boundary of x minus so same copy same point will be identified only along the boundary okay corresponding points all right that is my quotient space on the quotient space we can define a chart if point belongs to the interior of x whether it is in x plus or x minus there is no problem you can take the same phi plus or phi minus so we get a chart inside r n now okay maybe it is plus part or minus part okay because after taking reflection the nth coordinate might have become we will become minus does not matter the problem is only at points wherein the point belongs to the boundary of x okay boundary of x plus and similarly it will be a copy of that one it it is the quotient of these two it is identification so the same xx okay representing that that has become a single point so what do we do there there also it is very easy what we do take the image of take a take a chart phi at that point phi i look at the image okay just to reflect it right take the urine of those two that will be homomorphic to the two of these phi plus and phi minus on x plus x plus union x minus modular the relation okay so that is that is what the chart would look like for this double of x therefore double x is a manifold without boundary no boundary at all now the original boundary for x has become an interior point now okay and it contains two copies of x which are closed subspaces of the x and boundary of x is their common boundary in dx okay so you have two closed subspaces they are manifolds with boundary okay their set theoretic boundary is precisely equal to boundary of x now you see the relation between the manifold boundary and set theory boundary so this double x dx is called the double of x okay this could be useful in several cases okay so as an example of our claim in the previous paragraph let us derive that any manifold with boundary is compact see we prove it for manifolds without boundary but now it has a boundary then you do not have to prove it again all the way afresh here is how you want to do this okay all that we do is take dx which contains x as a closed subspace dx is a manifold without boundary and our theorem appraise there that is paracompact and it is a closed subspace every closed subspace a paracompact space is a paracompact okay so you are done as an immediate consequence of this existence of partition affinity we shall now obtain a slightly better picture for this for this boundaries namely the caller neighborhood theorem is a very useful result on its own it takes me a manifold with boundary non-empty what is the meaning of a caller caller of boundary of x we mean an open substitute of x which is homeomorphic to what boundary of x cross zero infinity open zero close infinity open so that zero close infinity open this is the caller it is like a slight extension of a boundary of x itself such that this homeomorphism should be such that whenever it is in boundary of x it is px is x px is identity okay so that is the meaning of so this u must be an open subset of x itself okay now you can see that if you take a disc okay round disc the boundary you know is the circle what will be a caller neighborhood all points which are of the norm say bigger than some one minus epsilon okay so that will be a caller for s1 inside d2 or more generally sn minus 1 inside dn all right once you have some epsilon you can use the whole you can stretch it to the whole of infinity also so in the definition I could have put zero epsilon here okay but then you may ask what is epsilon and so on so instead of that I have zero infinity okay so once there is some epsilon neighborhood like this boundary of x cross zero epsilon here open is also homeomorphic to boundary of x cross zero infinity so there is no problem so in every manifold x boundary of x has a caller neighborhood okay a caller is a neighborhood which is a very special kind of neighborhood all right moreover for any caller neighborhood q of boundary of x if you look at x minus u throw away that caller whatever is left out is homeomorphic to x if you throw away the epsilon neighborhood of the circle from the disk provided that epsilon is what less than one okay if you want less than epsilon means something less than you have to you have to less than one throw away that right again you get a small disk a closed disk again which is homeomorphic to the whole disk so this is easy for the disk because you have taken a nice object but this is true for all manifold all topological okay so that is what we want to prove okay so theorem is that every manifold x boundary of x is a caller neighborhood then when you remove that it is homeomorphic to x in fact the second part will be part of the first part was proof itself so you will see that we do not have to waste so much of time for proving the second part again so let y be the space obtained by attaching an external caller to x so instead of working inside i am going to extend x beyond like we have did the double don't do the all the double but slightly you have your h n okay that line r n minus one cross zero you bring it slightly below try it at r n minus one cross x minus epsilon okay so what it will be it will be it will contain a neighborhood of our original boundary namely r n minus one cross zero and that neighborhood will be r n minus one cross zero cross zero to epsilon so this is the picture which happens in the model and we want to say that the same thing will happen for the manifold itself okay so we start with constructing this y the space obtained by attaching an external caller to x via y is a quotient of disjoint union of x in the double what we did another copy of x we did don't big the whole copy but take boundary of x cross minus one zero okay take boundary of x cross minus one zero and identify x this boundary of x with x cross zero in boundary of x cross minus one zero the minus one part is identified with the original boundary right so from minus one to zero you have this extra thing okay observe that y is also a manifold with its boundary homomorphic to now boundary of x cross minus one so so r n r n minus one cross zero is standing there but I have come up to minus one below minus one to zero I have taken this extra thing so now the new boundary will be boundary of x cross minus one so this part I am not going to prove that this y which is obtained as a union of old x at boundary of x cross minus one along identified along this one is a manifold that is proof is same as in the proof of bound double double of a manifold okay observe that y is also manifold with boundary homomorphism the idea is to define a homomorphism from x to y and then take u equal to f inverse of boundary of x for minus one zero so this y which is slightly larger manifold is again homomorphic to x in such a way that the boundary of x cross minus one this boundary will go to the boundary of x under a homomorphism by the way boundary has to go to boundary invariance of domain okay so it will go to boundary so if we have a homomorphism like this you will have this one then what happens to the minus one to zero power it would have a copy inside x now the image of minus one to zero boundary of minus one to zero it is f inverse of that that will be my my u that is the idea okay so how to get this one how to get a homomorphism like this okay begin with a countable partition of infinity theta i on boundary of x so that support of theta i is contained in a coordinate open set ui of boundary of x together with a homomorphism vi from ui cross zero one on to an open subset vi of x okay so instead of choosing arbitrary neighborhood of of a point on the boundary inside x okay there are coordinates I am choosing a product neighborhood we choose a neighborhood first vi and then vi cross zero open one one one one two one sorry zero two one open okay half open interval all right for each point neighborhood we can do that one in a round thing you can always have a square open subset it's like that ui cross zero one you can have okay this after all here rn rn is rn minus one cross r it is a product of poly there on to no one set vi inside x once you have this one for each ui okay and you have partition of infinity what I do I start defining take eta not to be zero and eta k to be island who want to k theta i theta one theta two theta three some ordering is there it is a countable partition of infinity okay so eta only theta one eta two is theta one plus theta two and so on okay i ring to one to k theta i all right let us take z k to be all x comma t x is in uk what is uk you can open subset of boundary effects okay they cover the whole of boundary effects minus of eta k minus one of x less than equal to t less than equal to one so t ranges from in this this interval okay so this is definition of this is subspace of boundary effects cross of zero one because entire sum total is what is sum total here it is always one at the most right so I am taking half partial say here so this will always be less than one so minus of that will be bigger than minus okay minus of something less than equal to one nine okay so z k prime as for all those x t belong you to the next one u x u of k uk eta of the next one minus eta k less than equal to less than equal to one so it is slightly bigger name it is because sum is larger here that alpha k from z k to z k prime be the homomorphism which linearly stretches the segment this segment only t part from minus eta k plus one to eta k okay you see they may be equal also then there is nothing true because the theta k at some point may be zero okay inside uk it may be zero no problem but if it is not because these are they will slide some more will be added up after all so you just stretch it this part remains same one the other end remains the same these are homomorphism keep stretching that okay so homomorphically any two intervals half this this is half closed okay these these are close intervals sorry so they are close intervals so they are homomorphic to each other okay so homomorph on to the segment minus eta k to one for each x you do that okay it depends upon x right okay so this is what you have to do that if we if the end points are are parameterized by x a continuous parameterization then the homomorphism it is parameterized so this is a non-trigger step okay but what you can do you take a linear map linear maps are there which goes to one to one and this one to this one that will give you a formula so that will be automatically a homomorphism okay continuously depends continuously on x put y k equal to now x union all those x comma t set minus of eta k of x is less than equal to zero t okay this is now kth stage construction is over that beta k b from z k prime to y k be the embedding given by beta k of x t is equal to phi k of x t t greater than or zero and beta k of x t equal to x t for t less than equal to zero okay so you have to see that these these things agree at t equal to zero namely it will be x itself there the point x I don't know okay so we define homomorphism f k from y k minus one to y k so inductively as follows f k of z will be just identity if it is inside it's outside phi k of u k cross zero one okay at one there is nothing changed that's why this is this is okay it will be x t okay where result itself is x t but x is not in u k if x is in u k you check it to be beta k times the alpha k of x t okay is alpha k of x t okay so you have to keep keep constructing this inductively like this finally you put f equal to to composite f one and then followed by f two the other way around okay f k depending upon where k is where x is x will be at a final stage u k one of the u k after that no matter what you take f k plus one f k plus two and so on it is identity it doesn't change okay if it is outside it is just that okay so all f k's if x is already in u k and not in u k plus one and so on okay then it will be identity so this is this infinite composition though it looks like infinite composition so first of all note that on the complement v which is equal to union of phi i phi i of u i cross zero one f is identity see for each boundary point we have taken these neighborhoods okay so everything is happening inside that smaller neighborhood even the pushing everything so what we have done is we constructed from minus one to plus one okay and then pushed the minus one to zero inside without bothering the plus one part plus one part is already there okay so all that you can do entire thing is just that one only you take some r n or any x and take x cross minus one to plus one okay the only thing is you don't have uniform one all the way because it's infinite set in a compact set this would have been much simpler okay then you could have have a uniform epsilon okay on v itself this is union of this one f makes sense since given any point x belongs to boundary of x there are only finitely many i for which x belongs to u i and f k of x t is x t if x is not in u k that's what i had already told you indeed in a neighborhood of x all f k right in t except those k for which theta k of x is not zero okay for this reason f is also a proper mapping since summation theta k is one it follows that f is subjective since f k are embedding f is an injective therefore f is only one so the partition of unity i have been used here and eta k is how much i have to go that will depend upon partition of unit so eta k so add up to theta one theta two up to k that's called eta k we will stop here next time we will consider that euclidean topological spaces can topological manifolds can always be embedded inside r n so sometimes thank you


What's up everybody Jason for Jasper's case brings calm. We just sold out 2021 obsidian football This is a 12 box case break pregions number four Here we go guys sold out straight up With a help from everybody But a special shout out to Carl. He got a lot of the big heavy-hitter teams Including the bucks last spot mojo They go man. Good luck Carl. Thank you man. Appreciate it. Good luck everybody guys like I said It's obsidian, you know our first two cases weren't something that we wanted to see But our third case was probably one of the best we've seen so I'm hoping we continue that trend So like I said, I learned today from you guys of course like you know color blasts on average our per case one white contra or one color blast, but Theory has worked if you get you can get two colors last like we did in the last case, so Let's see what we got here guys Let's go. Good luck everybody. Here we go First one is Ramondry Stevenson with a client Edwards a layer to 100 So Ramondry Stevenson that is going to Carl on the Patriots That's 36 out of 75 Jalen Darden, that's for the bucks also going to Carl and Another one for Carl. It's out of 50 22 out of 50 called trash.  Oh, you're already on the board with a couple hits here Terrence Marshall Jr. That's going to the Carolina Panthers Eric with that one Callum on to 75 52 out of 75 for the Minnesota Vikings going to Jerry Bennington Trace Sermon to 99 Also going to Carl on the 49ers That was a good running back out of college Jesus naked. Come on man. All right first one down Next one out teal all and a color blast in the same pack. Let's save that right there See who that is Justin Jefferson, you know that teal all is there, but I don't know what that's under that Trevor Lawrence though tunnel vision. That's a 23 out of 25 Very nice teal all though. That's a Jacksonville Jaguars Carl Ian book to 75 Did you really Anthony? I didn't see it. I mean, maybe it was there. I Sorry, it was the name on the corner. I just seen the rookie. I wasn't paying attention anywhere else 299 I guess you guys all could see it though. Oh well Juan Baker We have a bar more Good eye Anthony. I wasn't paying attention to that. I was just paying attention to the rookie part And I was like whoa rookie and to 99 Javante Williams That's for Denver going to mark All right guys. Well Guess technically we guys might have seen it already Wow Zach Wilson. I didn't see it though Beautiful color blast and you know what Grant? You said on the last break, right? Everybody was hitting the big teams except mine. I was left out with the Jets.  I don't know I mean, I know he has a prism color blast and one of them sold for like 1500 bucks already, but I Don't know actually I didn't check the checkers. It doesn't look like he does Seems like it's just Patrick Mahon's Brady Rogers Packers Wilson Seahawks Allen Bills Murray Cardinals Henry for the Titans but Catherine for the Panthers Herbert for the Charters borough for the bangles to a for the Dolphins Met cat for the Seahawks digs for the Bills Hopkins for the Cardinals. What? Yeah, no Looks like he doesn't it's just basically Trevor Lauren Zach Wilson Trey Lance fields and Mack Jones I think it's just the quarterbacks. It looks like a Devante like this though would have been awesome to do We have a 75 Thurman Thomas Well, at least we're getting quarterback color blast, right? I mean, that's that's a good thing Bills court We have a Javan Holland product To one 99. All right, hopefully man Get some Browns love. I haven't seen a lot of Browns though. So I do expect some Aurora Vince Young for the Titans. It's going to a surrendered and the Ami Brown RPA Washington going to John and that's a to 150 9 out of 150. That's right. I'm glad he doesn't I'm glad little boxy doesn't want to close Khalil Mack and There's our white contrast. So maybe not two color blasts in this one But it is a Xavian Collins. I Don't hate him. I just feel like so many people like just haven't loved so much. I mean Why couldn't he do better in in in Detroit? I mean, I feel like a lot of other quarterbacks that are drafted there take their teams to another level, but I mean He had opportunities, but just choked Finally comes to a good team. I guess right. I mean But I think you can put any one of those quarterbacks in that situation Put them on that Rams team and see if they do well, you know That's my thing Is that uh, you know You just have to be semi-decent to go to the Super Bowl with the runs Yonder Swift to ten. There you go. That's Lions Riley. And I should be honest to Aaron They could have easily lost that Super Bowl to the Bengals. They were just one play away Payton Turner. I mean, I don't know we can go look at the stats and we'll see whether it was really the stats In this playoffs for Matthew Stafford or not to 1.99 And they've got 400 points given out there Out of 50 Nice patch Davis Mills That's a nice one there for Houston. That's going to Charles But I said that's just my opinion Doesn't mean I'm right or wrong Joe Tryon and we got Xavier and Howard. I don't think he's overrated, but We can't really judge him. He's only been in the league for two years Let's let's see how let's see how his career turns out Let's give him like 13 years like Matthew Stafford and see where he's at in 13 years, you know Jalen Waddle That's for the menace. Sorry Miami Dolphins Remandre Stevenson at 25 nice another three four-color patch dude Greg that pick a team was wild, right? It's crazy. That's the case we were looking for all along another one there for Carl and the Patriots That freer month out of 25 Jacob Harris, that's for the Rams and Los Angeles Rams I mean, let's just be honest there and I Guess I guess I can't judge that either from my homes But will my home's be a better quarterback in the end better than Stafford or is he already better than Stafford? Ever was I mean, that's the thing my home's is really hyped up man, but he's so amazing and I mean Let's just be really honest. I Mean, I don't care about my home's is no look throws I think the most impressive throw I've ever seen my home's throw was in the Super Bowl two against the Bucks When all these receivers are dropping passes and he throws that one literally just Like literally horizontal to the ground. I feel like that is the most amazing passes ever done The fact that it got and hit the receiver right in the right in the helmet. I believe in the end zone To me, that's more amazing than anything Miles Sanders and a little Josh Allen at a 50 David Smills We got Len Dawson for the Chiefs Atomic Relic Devonte Smith I mean, we're not just talking deep accurate passes there and we're just talking about over a career so far Donald driver to 10 to 99 Pat Friarma But yeah, Stafford coming out of college.  Nothing's the issue with him really. I'm just I'm just saying that like I feel like Could have done a lot better in Detroit. Yeah, maybe the team could have been better for him But a lot of these quarterbacks they get drafted to an organization like that. You usually tend to kind of lift up organization, you know, but maybe you're right. Maybe just Detroit's just just Detroit doesn't count I guess Wow supernova Trevor Lawrence eight out of 15 These actually super knows I remember correctly actually saw extremely well very nice. That's T-Law Jags gonna Carl I mean a lot of wasted years there Detroit. I'll tell you that and I also hate that Detroit didn't give the opportunity for Megatron to just leave They just had to keep him hostage 75 Zeke cutting edge I'm the more points 400 Another tree sermon autograph to 199. I mean just Calvin with anybody else Josh Palmer to the 99. That's for the Chargers Diego with that one. We got Zair Alexander and a terrorist marshal junior But I don't think they were in need of a receiver at that time They didn't need in a quarterback to fill in their position Niko Collins One two three killer patch I mean, I'm wrong man the idea that in a lack for Jamargo's Russell was is it's just as Determination to actually want to be an NFL quarterback like I do that a cannon. He was really good in college They could throw 70 yards sitting down But again, I just don't think he Fully embraced, you know wanting to actually win and be a really good NFL quarterback Jamar Chase to 75 he tried to make a comeback. I remember a few years later, but too late by them That dude got paid like 70 mil guaranteed. Yeah, Jamar Chase bangles Jesse We have to 50 Nick Bosa for the 49. It's very nice Carl Exactly dude like he he was just all full of himself Kenny gave on the 150. That's it goes Oscar Alright four robloxes. Look at that the Lord and Savior for the Detroit Lions, Jerry Goff Detroit Lions that's going to Riley Josh Allen JK Dobbins to 75 Ron Delmore to 75 Marcus Stevenson, that's for the Bills Corey Hey, here we go Numbered 10 out of 35 Trevor Lawrence RPA They go Carl. Very nice. Hey Carl. He's better than some quarterbacks in the league I hope he just frickin kills it.  Hey, there's a start 54 to 75. No, just to spite everybody. I feel like so many people hate on this guy Again, he got to a Super Bowl two with the same one almost the same Rams team, you know so Give him a little bit of credit AJ Brown to 75 we have To 100 Justin Herbert, I can say Rams defense also won this Super Bowl iron. What about that? I can say the same thing at a 25 Tyler Boyd do the Falcons. Oh, man, don't Falcons fans, man, I would Yeah, let's switch to that Falcon. Oh my god. I'd be so sad about the Falcons fan To 99 Travis ETN junior. I mean, I don't actually know and he might have thrown one Because I think it was a little scoring regardless, but I mean he got beat by the goat so There's that as well true that is uh Wait, was that the Rams, New Orleans one? Was that the same one the the Where the guy basically has a passenger friends without the same Super Bowl. Oh The fact that the Saints got screwed like Twice And the Minneapolis miracle I think happens like the next year right or the year before Tyler Boyd Jacob Harris Rashad of Avon, that's Ravens Riley. I want to rob ground Kowski 20 out of 25 very nice last ball mojo of Bucks going to Carl and doing that scrims to 99 Well, Greg, I will be rooting for your Falcons to some extent Don't really care if they win or lose, but I just want Mario to play well You know big Oregon fan and love Mario in college So whether you like him or not, I'll be rooting for him to just do well and 100% Jack there's no way that Grunk is not a Hall of Famer The question is will he be a first baller? I think he could be What Gronk has done just even regular season more in the playoffs. He's he's he's definitely in it's just more like could he be a first Ballet Hall of Famer His stats just crazy. All right, we go last box Carlos Biggie Basham and Bobby Wagner You know, there was a couple of those years where he was literally breaking that same arm every year and having surgery But even then he came back and still had great seasons Clader was there. We got Joe mixing number to 100 Jamar Chase trifecta 76 out of 100 Phil Sims Well, again, he can play well Just just just don't win Just don't win that that's all That's all I just said. I don't really care whether he wins or loses, but he can still play well And Kenny gain well for my Eagles Alrighty guys, and there you go Not necessarily I wanted to burrow to win I rather have just had the Bengals went over the Rams because I feel like you know living in LA There was a lot of bandwagon Ram fans that were worthy like two three years ago, you know or a year ago even That's my thing. It didn't mean that I really wanted burrow to win So T-Law RPA T-Law supernova to 15 And of course got a couple points our Zach Wilson color boss was a very nice one and like I said some really really nice hits But I mean I can't say I wasn't rooting for Joe Burrell. I would have been great for the hobby He would have been great for just history, right?  It was heartbreaking because again Yeah, you know the Rams won but they were really really close man I mean, I guess I if he does that extra split second or two seconds from Aaron Donald Jamar Chase is just open wide right down the field in the scene and I think he hits them and they score Like it was just that kind of year But you know obviously Aaron Donald for that reason, right? He's he's one of the best in the NFL and if not ever he made the play and that was it So there you go guys so again to two points four hundred to number one four hundred number two right there But yeah, I mean so let's paste in We're sorry not pasting the teams number top two get some points and again I feel like Cincinnati's defense did pretty well, too They not like they played horrible and they had to face, you know my homes Right, they had to face some really big tests and they did well and again, they're young so I'm like I said I think they'll be back soon. I mean since in that he's really good. All right, so here you go guys Roll the dice five and one six times. Good luck one two three four five six At the end of the day the defense put their defense put them in a position to win it just didn't work out for them They did enough Steelers and Cowboys there you go after six times Oh, and I'm going back to the Eagles Patriots champion Super Bowl defense is not win games because it was all offense. I get that Super Bowl But I guess I guess Eagles getting that one turnover Helped them so much, but still that game was just ridiculous. The fact that Tom Brady had like the best stats in the Super Bowl history and And they still lost I just remember I was like 10 shots deep I swear I was a big guy I don't really drink a lot But when I do you know, I need a lot to get me pretty good and I told myself, you know any time the Eagles Squared any points with this field goes touchdowns. I was gonna take a shot on my family and I did I didn't feel it one bit Up until I knew that the Eagles are finally gonna win and then it just hit me and I was drunk And I think I blocked out the rest of the night. It was it was crazy Let me look at their schedule right now, and I'll tell you All right guys, so there you go Steelers Cowboys 400 points each. Thank you guys So this is Pikachu number four number fives in the store