2020•Mathematische NachrichtenRequires access
Entropy for semigroup actions on general topological spaces
Josiney Alves De Souza, Alexandre J. Santana
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Abstract
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.