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Entropy for semigroup actions on general topological spaces

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  • Josiney A. Souza
  • Alexandre J. Santana

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.

Suggested Citation

  • Josiney A. Souza & Alexandre J. Santana, 2020. "Entropy for semigroup actions on general topological spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 293(10), pages 1985-2010, October.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:10:p:1985-2010
    DOI: 10.1002/mana.201800163
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    References listed on IDEAS

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    1. Josiney A. Souza & Carlos J. Braga Barros & Victor H. L. Rocha, 2016. "On attractors and stability for semigroup actions and control systems," Mathematische Nachrichten, Wiley Blackwell, vol. 289(10), pages 1272-1287, July.
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