Plane continua and transformation groups

Lau, A.

doi:10.1090/S0002-9939-1980-0556642-3

Plane continua and transformation groups
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by A. Lau

Proc. Amer. Math. Soc. 78 (1980), 608-610

DOI: https://doi.org/10.1090/S0002-9939-1980-0556642-3

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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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