Entropy for semigroup actions on general topological spaces |
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Authors: | Josiney A Souza Alexandre J Santana |
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Institution: | Universidade Estadual de Maringá, Cx. Postal 331, Maringá, PR, 87020-900 Brazil |
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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. |
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Keywords: | admissible topological space entropy semigroup actions |
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