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arXiv · 1905.02740

Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property

Tullio Ceccherini-Silberstein·Michel Coornaert
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Abstract

We prove that every expansive continuous action with the weak specification property of an amenable group $G$ on a compact Hausdorff space $X$ has the Myhill property, i.e., every pre-injective continuous self-mapping of $X$ commuting with the action of $G$ on $X$ is surjective. This extends a result previously obtained by Hanfeng Li in the case when $X$ is metrizable.

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Tullio Ceccherini-Silberstein, Michel Coornaert. 2019-05-07. Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property. https://doi.org/10.1007/s10883-020-09485-3

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