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On the Set of Continuity of the Topological Entropy of Parameter-Dependent Mappings of the Interval
Functional Analysis and Its Applications ( IF 0.4 ) Pub Date : 2022-01-25 , DOI: 10.1134/s0016266321030035 A. N. Vetokhin 1, 2
中文翻译:
区间参数依赖映射拓扑熵的连续性集
更新日期:2022-01-26
Functional Analysis and Its Applications ( IF 0.4 ) Pub Date : 2022-01-25 , DOI: 10.1134/s0016266321030035 A. N. Vetokhin 1, 2
Affiliation
Abstract
Families of continuous mappings of the interval continuously depending on a parameter are considered. Any \(G_\delta\) set dense in the parameter space is realized as the set of continuity of topological entropy for a suitable family of continuous mappings.
中文翻译:
区间参数依赖映射拓扑熵的连续性集
摘要
考虑连续依赖于参数的区间的连续映射族。任何在参数空间中密集的\(G_\delta\)集都被实现为适合连续映射族的拓扑熵的连续性集。