区间参数相关映射拓扑熵的连续性集

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2022-01-25 DOI:10.1134/S0016266321030035

A. N. Vetokhin

引用次数: 0

摘要

考虑连续依赖于参数的区间连续映射族。在参数空间中任何\(G_\delta\)密集的集合被实现为一组合适的连续映射的拓扑熵的连续性集合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Set of Continuity of the Topological Entropy of Parameter-Dependent Mappings of the Interval

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.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.