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

Anthony Carbery

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

School of Mathematics

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 language	English
Publisher	ArXiv
Number of pages	8
Publication status	Published - 21 May 2012

Keywords

math.AT
55M20

Access to Document

http://arxiv.org/pdf/1205.4540v1

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