Restricted topological entropy and expansive mappings

Abstract

Introduction and Basic Concepts. Topological entropy, a conjugacy-invariant of continuous maps, was defined in [1]. I f ~ and/3 are open covers of a compact space X, let ~ v /3 = { A n B[A • ~ and B • fl}. Define N(~) as the cardinality of a subcover of a of minimal cardinality, and put H(~) = log N(c0. I f T is a continuous self-mapping of X, limn_,~o (l/n… (More)
DOI: 10.1007/BF01890606

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