Entropy for semigroup actions on general topological spaces

Josiney A. Souza and Alexandre J. Santana

Mathematische Nachrichten, 2020, vol. 293, issue 10, 1985-2010

Abstract: 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.

Date: 2020
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