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Entropy for semigroup actions on general topological spaces
Author(s) -
Souza Josiney A.,
Santana Alexandre J.
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201800163
Subject(s) - topological entropy , mathematics , topological entropy in physics , semigroup , topological dynamics , entropy (arrow of time) , topological ring , topological algebra , topological space , pure mathematics , joint quantum entropy , topology (electrical circuits) , topological vector space , topological quantum number , topological tensor product , principle of maximum entropy , combinatorics , functional analysis , physics , biochemistry , chemistry , statistics , quantum mechanics , gene
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.