{"title":"On epimorphisms of topological groups","authors":"Eric C. Nummela","doi":"10.1016/0016-660X(78)90060-0","DOIUrl":null,"url":null,"abstract":"<div><p>A complete survey of results on the epimorphism problem for various categories of topological groups is given. All known partial results on the epimorphism problem for Hausdorff topological groups support the conjecture that epimorphisms of Hausdorff topological groups have dense image.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 2","pages":"Pages 155-167"},"PeriodicalIF":0.0000,"publicationDate":"1978-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90060-0","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X78900600","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
A complete survey of results on the epimorphism problem for various categories of topological groups is given. All known partial results on the epimorphism problem for Hausdorff topological groups support the conjecture that epimorphisms of Hausdorff topological groups have dense image.
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