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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Fixed points of orientation reversing homeomorphisms of the plane


Author: Krystyna Kuperberg
Journal: Proc. Amer. Math. Soc. 112 (1991), 223-229
MSC: Primary 54F15
DOI: https://doi.org/10.1090/S0002-9939-1991-1064906-X
MathSciNet review: 1064906
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Abstract: Let $ h$ be an orientation reversing homeomorphism of the plane onto itself. If $ X$ is a plane continuum invariant under $ h$, then $ h$ has a fixed point in $ X$. Furthermore, if at least one of the bounded complementary domains of $ X$ is invariant under $ h$, then $ h$ has at least two fixed points in $ X$.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1064906-X
Keywords: Fixed point
Article copyright: © Copyright 1991 American Mathematical Society

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