AlgTop25: More on the fundamental group

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  • เผยแพร่เมื่อ 4 ก.พ. 2025

ความคิดเห็น • 16

  • @kabayakawa
    @kabayakawa 12 ปีที่แล้ว +8

    Algebraic topology is now my favorite topic. Thanks for so good material

  • @njwildberger
    @njwildberger  11 ปีที่แล้ว +6

    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.

  • @davidcooper4327
    @davidcooper4327 11 ปีที่แล้ว +2

    Thanks for the response, I think I got it now. I'm thoroughly enjoying the lectures.

  • @henf5671
    @henf5671 10 ปีที่แล้ว +2

    Another wonderful video. You explain this so clearly! Thanks again for posting these videos.

  • @Maturandin91
    @Maturandin91 12 ปีที่แล้ว +1

    Thanks so much!!! You can explain better than all assistants and profs I've ever had. ;-)

  • @hellenakinyi7942
    @hellenakinyi7942 ปีที่แล้ว +2

    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...

  • @njwildberger
    @njwildberger  13 ปีที่แล้ว +1

    @yexonlau Possibly. I will be adding some more lectures later this year.

  • @hoangyuotube
    @hoangyuotube 12 ปีที่แล้ว +1

    Thank prof njwildberger a lot. It's wonderful.

  • @njwildberger
    @njwildberger  13 ปีที่แล้ว +1

    @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.

  • @8223765
    @8223765 13 ปีที่แล้ว +1

    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.

  • @Relative0
    @Relative0 12 ปีที่แล้ว

    Thanks Professor! Very very much appreciated. Watching your video's are like a mathematicians version of a big budget Hollywood movie!

  • @njwildberger
    @njwildberger  13 ปีที่แล้ว

    @vivaelche05 It will appear in about half a year!

  • @dibeos
    @dibeos 3 ปีที่แล้ว +1

    How do I put 10 likes?!

  • @njwildberger
    @njwildberger  13 ปีที่แล้ว

    @8223765 I will be adding some homology theory to these lectures later in the year.

  • @pragnabhatt3703
    @pragnabhatt3703 5 ปีที่แล้ว

    THANK YOU!!!

  • @vivaelche05
    @vivaelche05 13 ปีที่แล้ว

    @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?