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An Interval Counterexample on Topological Sequence Entropy
Authors:J S Cánovas
Institution:(1) Departamento de Matemática Aplicada y Estadistica, Universidad Politécnica de Cartagena, Paseo de Alfonso XIII, 34-36, 30203 Cartagena, Murcia, Spain E-mail
Abstract:We provide an example showing that, in general, the topological sequence entropy of a continuous interval map cannot be attained on the set of non-wandering points. This proves that there is no connection between the topological sequence entropy of an interval map and its behavior on sets of special dynamical meaning.
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