A maximally pathological Brouwer homeomorphism-Reference-Cited by-同舟云学术

A maximally pathological Brouwer homeomorphism

Published:1994 Issue:2 Volume:343 Page:559-573
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Daw Edward Warwick

Abstract

This paper constructs a Brouwer homeomorphism which does not act properly discontinuously on any nonempty invariant closed connected set in R 2 {\mathbb {R}^2} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1994-343-02/S0002-9947-1994-1173856-7/S0002-9947-1994-1173856-7.pdf

Reference5 articles.

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2. Homeomorphisms of two-dimensional manifolds;Brown, M.;Houston J. Math.,1985

3. A new proof of Brouwer’s lemma on translation arcs;Brown, Morton;Houston J. Math.,1984

4. An orientation preserving fixed point free homeomorphism of the plane which admits no closed invariant line;Brown, Morton;Topology Appl.,1988

5. Lucien Guillou, Le theoreme de translation plane de Brouwer: une demonstration simplifee menant a une nouvelle preuve du theoreme de Poincare-Birkhoff, preprint.

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