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Proceedings of the American Mathematical Society

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

 

 

Plane continua and transformation groups


Author: A. Lau
Journal: Proc. Amer. Math. Soc. 78 (1980), 608-610
MSC: Primary 54H25
MathSciNet review: 556642
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Abstract: If G is a compact transformation group acting on a nonseparating plane continuum, does G have a fixed point? This paper provides some partial answers to the question. In particular, it yields the corollary that a period homeomorphism on a nonseparating plane continuum has a fixed point.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0556642-3
Keywords: Compact transformation groups, plane continua, fixed points, cohomology groups
Article copyright: © Copyright 1980 American Mathematical Society