{"title":"A characterization of almost periodic homeomorphisms on the 2-sphere and the annulus","authors":"Gerhard X. Ritter","doi":"10.1016/0016-660X(78)90022-3","DOIUrl":null,"url":null,"abstract":"<div><p>The purpose of this paper is to show that every almost periodic homeomorphism of the 2-sphere or the annulus onto itself is topologically equivalent to either a standard rotation or a standard reflection or the composition of a standard reflection with a standard rotation of these spaces.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 3","pages":"Pages 185-191"},"PeriodicalIF":0.0000,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90022-3","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X78900223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
The purpose of this paper is to show that every almost periodic homeomorphism of the 2-sphere or the annulus onto itself is topologically equivalent to either a standard rotation or a standard reflection or the composition of a standard reflection with a standard rotation of these spaces.
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