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.

中文翻译：

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具有一致空间规范，拓扑熵和Myhill属性的扩展动作

我们证明了在紧Hausdorff空间X上具有可适应基团G的较弱规格属性的每个扩展连续动作都具有Myhill属性，即，X与G在X上的作用进行交换的每个预注射连续自映射都是排斥的。这扩展了先前的李汉峰在X可量化的情况下获得的结果。