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Abstract <p>We consider a parametric family of dynamical systems generated by homeomorphisms that continuously depend on a parameter from some metric space. For any such family the topological entropy of the dynamical systems included in it is studied as a function of the parameter from the standpoint of the Baire classification of functions.</p>

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On the Topological Entropy of One Family of Homeomorphisms of the Cantor Set

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • A. N. Vetokhin

摘要

Abstract

We consider a parametric family of dynamical systems generated by homeomorphisms that continuously depend on a parameter from some metric space. For any such family the topological entropy of the dynamical systems included in it is studied as a function of the parameter from the standpoint of the Baire classification of functions.