New and old facts about entropy in uniform spaces and topological groups
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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http://dx.doi.org/10.1016/j.topol.2011.05.046 |
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Title
New and old facts about entropy in uniform spaces and topological groupsDate
2012-04Publisher
ElsevierType
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0166864111005736Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
In 1965 Adler, Konheim and McAndrew defined the topological entropy of a continuous self-map of a compact space. In 1971 Bowen extended this notion to uniformly continuous self-maps of (not necessarily compact) metric ... [+]
In 1965 Adler, Konheim and McAndrew defined the topological entropy of a continuous self-map of a compact space. In 1971 Bowen extended this notion to uniformly continuous self-maps of (not necessarily compact) metric spaces and this approach was pushed further to uniform spaces and topological groups by many authors, giving rise to various versions of the topological entropy function. In 1981 Peters proposed a completely different (algebraic) entropy function for continuous automorphisms of non-compact LCA groups. The aim of this paper is to discuss some of these notions and their properties, trying to describe the relations among the various entropies and to correct some errors appearing in the literature. [-]
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Topology and its Applications, Volume 159, Issue 7, April 2012Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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- MAT_Articles [750]
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