Fixed points of the bucket handle-Reference-Cited by-同舟云学术

Fixed points of the bucket handle

Published:1998 Issue:3 Volume:126 Page:881-885
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aarts Jan,Fokkink Robbert

Abstract

If a homeomorphism on the bucket handle has an invariant composant, it has a fixed point in that composant. It follows that a homeomorphism on the bucket handle has at least two fixed points. Our methods apply to general Knaster continua.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-03/S0002-9939-98-04420-7/S0002-9939-98-04420-7.pdf

Reference4 articles.

1. On composants of the bucket handle;Aarts, Jan M.;Fund. Math.,1991

2. Die Grundlehren der mathematischen Wissenschaften, Band 201;Beck, Anatole,1974

3. A list of problems known as Houston problem book;Cook, Howard,1995

4. D. van Dantzig, Ueber topologisch homogene Kontinua, Fundamenta Mathematicae 14 (1930), 102–125.

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