{"title":"F-Expansive transformation groups","authors":"H.B. Keynes , M. Sears","doi":"10.1016/0016-660X(79)90029-1","DOIUrl":null,"url":null,"abstract":"<div><p>An initial investigation in <span><math><mtext>F</mtext></math></span>-expansion relative to families of continuous functions on the acting group is presented, modelled after previous work of Bowen and Walters on real flows. Basic properties are established, and expansion in the natural class of non-trivial homomorphisms is extensively studied. Finally, modelling discrete flows with such expansion in symbolic subshifts is investigated. Generalizations to <strong>R</strong><sup>n</sup> and <strong>Z</strong><sup>n</sup> are indicated.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 67-85"},"PeriodicalIF":0.0000,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90029-1","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X79900291","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15
Abstract
An initial investigation in -expansion relative to families of continuous functions on the acting group is presented, modelled after previous work of Bowen and Walters on real flows. Basic properties are established, and expansion in the natural class of non-trivial homomorphisms is extensively studied. Finally, modelling discrete flows with such expansion in symbolic subshifts is investigated. Generalizations to Rn and Zn are indicated.
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