This paper introduces both notions of topological entropy and invariance entropy for semigroup actions on general topological spaces. We use the concept of admissible family of open coverings to extending and studying the notions of Adler–Konheim–McAndrew topological entropy, Bowen topological entropy, and invariance entropy to the general theory of topological dynamics.

中文翻译：

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广义拓扑空间上半群作用的熵

本文介绍了一般拓扑空间上半群作用的拓扑熵和不变熵的概念。我们使用开放覆盖可允许族的概念来扩展和研究Adler–Konheim–McAndrew拓扑熵，Bowen拓扑熵和不变熵的概念，以适应一般的拓扑动力学理论。