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Chapter VI Topological Entropy I : Definitions

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Book Id: WPLBN0000673345
Format Type: PDF eBook
File Size: 141.62 KB
Reproduction Date: 2005

Title: Chapter VI Topological Entropy I : Definitions  
Language: English
Subject: Science., Mathematics, Logic
Publication Date:


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Chapter VI Topological Entropy I : Definitions. (n.d.). Chapter VI Topological Entropy I : Definitions. Retrieved from

Mathematics document containing theorems and formulas.

Excerpt: In this section we introduce an invariant of topological conjugacy for topological dynamical systems. The original definition, due to Adler, Konheim and McAndrew, applies to continuous maps of compact topological spaces. We shall use first a later definition, due to Bowen and Dinaburg, which applies to uniformly continuous maps of metric spaces, not necessarily compact. It turns out that for our purposes the extra generality of allowing non{compact spaces is more important than allowing non{metric topological spaces.


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