If two loops are homotopic, they define the same class in the fundamental group. The inverses of the two loops will also by homotopic. So the inverses are well defined in the fundamental group.
Video Content 00:00 More on the fundamental group 01:50 Multiplication 03:04 Theorem 03:50 Proof -Identity & constant loop 08:40 Inverses 16:00 Associativity 20:00 picture examples 30:06 Projective plane 33:56 Problem 26. Describe...
@vivaelche05 Sorry, I will only be teaching this again in our second semester, which starts in August. I will be adding more videos to the series probably in Sept or Oct. Sorry for the delay.
Thanks for this video. Very interesting and easy to understand. I would also be interested in the van Kampen theorem. And maybe some homology theorie too.
Algebraic topology is now my favorite topic. Thanks for so good material
If two loops are homotopic, they define the same class in the fundamental group. The inverses of the two loops will also by homotopic. So the inverses are well defined in the fundamental group.
Thanks for the response, I think I got it now. I'm thoroughly enjoying the lectures.
Another wonderful video. You explain this so clearly! Thanks again for posting these videos.
Thanks so much!!! You can explain better than all assistants and profs I've ever had. ;-)
Video Content
00:00 More on the fundamental group
01:50 Multiplication
03:04 Theorem
03:50 Proof -Identity & constant loop
08:40 Inverses
16:00 Associativity
20:00 picture examples
30:06 Projective plane
33:56 Problem 26. Describe...
@yexonlau Possibly. I will be adding some more lectures later this year.
Thank prof njwildberger a lot. It's wonderful.
@vivaelche05 Sorry, I will only be teaching this again in our second semester, which starts in August. I will be adding more videos to the series probably in Sept or Oct.
Sorry for the delay.
Thanks for this video. Very interesting and easy to understand. I would also be interested in the van Kampen theorem. And maybe some homology theorie too.
Thanks Professor! Very very much appreciated. Watching your video's are like a mathematicians version of a big budget Hollywood movie!
@vivaelche05 It will appear in about half a year!
How do I put 10 likes?!
@8223765 I will be adding some homology theory to these lectures later in the year.
THANK YOU!!!
@njwildberger Thanks for your reply. Professor Wildberger, would it at all be possible for you to post the lecture videos one by one before 6 months?