Rational irreducible plane continua without the fixed-point property-Reference-Cited by-同舟云学术

Rational irreducible plane continua without the fixed-point property

Published:2004-08-20 Issue:2 Volume:133 Page:617-625
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hagopian Charles,Mańka Roman

Abstract

We define rational irreducible continua in the plane that admit fixed-point-free maps with the condition that all of their tranches have the fixed-point property. This answers in the affirmative a question of Hagopian. The construction is based on a special class of spirals that limit on a double Warsaw circle. The closure of each of these spirals has the fixed-point property.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-02/S0002-9939-04-07543-4/S0002-9939-04-07543-4.pdf

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5. [H] C. L. Hagopian, Irreducible continua without the fixed-point property, Bull. Pol. Acad. Sci. Math. 51 (2003), 121–127.

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