Algebraic Topology 1.6 : Applications of the Fundamental Group of the Circle

In this video, I introduce some applications of the Fundamental Group of the Circle, which includes the Fundamental Theorem of Algebra, Brouwer's Fixed Point Theorem, and the Borsuk-Ulam Theorem.

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[plaustrarius]

Thank you!! Vercy excited to watch!

Excited about applications on other conics and degenerate conics as well as analogous 'conics' in higher dimensions or degrees

[isleofdeath]

I would love to see some videos on weak* topologies and C* Algebras. Regards, and thanks again for your nice explanations!

[gregoriousmaths]

Ooh I remember watching the 3blue1brown video about the theorem about the antipodal points ( I forget what it’s called)

[haminatmiyaxwen]

Great content! Are you still using Munkres book, or have you moved to Hatcher's Algebraic Topology book? Besides Lee's books on Manifolds etc. What are some other books for Riemannian Geometry (my favorite topic) have you read?

[grantstenger]

Another great video! I know it's hard, but it would be much better communicated if the handwriting got a bit neater :) I'm liking these algebraic topology videos though!

[DanielCastro-uylu]

What about a series of videos to construct the real numbers using both, Cauchy sequences and Dedekind cuts, you're a genius ✌😶

[cuentafake]

Could you upload easier topics for simple mortals like me? Calc III or real analysis, maybe