Mistake in Hirsch's proof

of the Brouwer Fixed Point Theorem

Author:
Kapil D. Joshi

Journal:
Proc. Amer. Math. Soc. **128** (2000), 1523-1525

MSC (1991):
Primary 55M20, 54H25

DOI:
https://doi.org/10.1090/S0002-9939-99-05205-3

Published electronically:
August 3, 1999

MathSciNet review:
1646193

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A mistake in Hirsch's proof of the Brouwer Fixed Point Theorem, based on the Simplicial Approximation Theorem, is pointed out along with some elaboration of its nature and possible ways to salvage Hirsch's proof.

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Additional Information

**Kapil D. Joshi**

Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Mumbai, 400 076 India

Email:
kdjoshi@math.iitb.ernet.in

DOI:
https://doi.org/10.1090/S0002-9939-99-05205-3

Received by editor(s):
November 4, 1997

Received by editor(s) in revised form:
March 24, 1998, and June 19, 1998

Published electronically:
August 3, 1999

Communicated by:
Ralph Cohen

Article copyright:
© Copyright 2000
American Mathematical Society