The Brouwer fixed point theorem and the Borsuk--Ulam theorem

Research output: Working paper

Abstract

These informal notes, not intended for publication, provide an approach to the Borsuk--Ulam theorem via Stokes' theorem, in a similar spirit to Lima's proof of the Brouwer fixed point theorem. They are intended to be accessible to anyone with a knowledge of basic point-set topology and several variable calculus. Some of the argument relies upon previous ideas of Shchepin.
Original languageEnglish
PublisherArXiv
Number of pages8
Publication statusPublished - 21 May 2012

Keywords

  • math.AT
  • 55M20

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