The Borsuk-Ulam Theorem | Nathan Dalaklis

Mappings and functions that work on topological spaces other than the real line can be counterintuitive, and in cases like with the sphere, we have things like the Borsuk-Ulam Theorem which can assert the truth of things that would appear, without proof, to be outright lies. In this video, we go through some ideas, like homotopy, antipode preserving mappings, and covering maps/ covering spaces which are at the base of the Borsuk-Ulam theorem and use them to give a sketch of a proof of the theorem.

CORRECTIONS!!! The denominator of the function g given near the end should be in absolute value. (I only wrote half of the absolute value whoops!)
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CHECK OUT THE NOTES THAT GO ALONG WITH THIS VIDEO!!!
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#CHALK #BorsukUlamTheorem #Topology
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[muhammadshoaibkhan]

Sirr, Loved the way you explained and also the notes provided by you.... Do you have the notes for the van kampan theorem ?

[oc]

Good video dude, do one on consciousness. Much love.