Manual Using the Borsuk-Ulam theorem : lectures on topological methods in combinatorics and geometry

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The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Equivalence between Brouwer fixed-point theorem and Borsuk-Ulam theorem. Is there a simple proof of equivalence between them?


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Ask Question. Asked 1 year, 10 months ago. Viewed times. In other words, I would like to know if there are any proofs of the implications below: Brouwer's fixed-point theorem implies Borsuk-Ulam's theorem. Borsuk-Ulam's theorem implies Brouwer's fixed-point theorem.

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Topological Methods in Geometry (SS 2011)

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