{"title":"On the Set of Continuity of the Topological Entropy of Parameter-Dependent Mappings of the Interval","authors":"A. N. Vetokhin","doi":"10.1134/S0016266321030035","DOIUrl":null,"url":null,"abstract":"<p> Families of continuous mappings of the interval continuously depending on a parameter are considered. Any <span>\\(G_\\delta\\)</span> set dense in the parameter space is realized as the set of continuity of topological entropy for a suitable family of continuous mappings. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266321030035","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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.
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.
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