A fixed point theorem for weakly chainable plane continua

Minc, Piotr

doi:10.1090/S0002-9947-1990-0968887-X

A fixed point theorem for weakly chainable plane continua
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by Piotr Minc

Trans. Amer. Math. Soc. 317 (1990), 303-312

DOI: https://doi.org/10.1090/S0002-9947-1990-0968887-X

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Abstract:

In this paper the fixed point theorem is proven for every plane acyclic continuum $X$ with the property that every indecomposable continuum in the boundary of $X$ is contained in a weakly chainable subcontinuum of $X$.

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Sur un continu acyclique qui se laisse transformer topologiquement en lui-meme sans point invariants

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