{"title":"石头的形状特性-Čech致密化","authors":"James Keesling, R.B. Sher","doi":"10.1016/0016-660X(78)90037-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper it is shown that if <em>X</em> is a connected space which is not pesudocompact, then β<em>X</em> is not movable and does not have metric shape. In particular β<em>X</em> cannot have trivial shape. It is also shown that if <em>X</em> is Lindelöf and <em>KχβX</em>−<em>X</em> is a continuum, then <em>K</em> cannot be movable or have metric shape unless it is a point.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 1","pages":"Pages 1-8"},"PeriodicalIF":0.0000,"publicationDate":"1978-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90037-5","citationCount":"12","resultStr":"{\"title\":\"Shape properties of the Stone-Čech compactification\",\"authors\":\"James Keesling, R.B. Sher\",\"doi\":\"10.1016/0016-660X(78)90037-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper it is shown that if <em>X</em> is a connected space which is not pesudocompact, then β<em>X</em> is not movable and does not have metric shape. In particular β<em>X</em> cannot have trivial shape. It is also shown that if <em>X</em> is Lindelöf and <em>KχβX</em>−<em>X</em> is a continuum, then <em>K</em> cannot be movable or have metric shape unless it is a point.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"9 1\",\"pages\":\"Pages 1-8\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0016-660X(78)90037-5\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X78900375\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X78900375","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Shape properties of the Stone-Čech compactification
In this paper it is shown that if X is a connected space which is not pesudocompact, then βX is not movable and does not have metric shape. In particular βX cannot have trivial shape. It is also shown that if X is Lindelöf and KχβX−X is a continuum, then K cannot be movable or have metric shape unless it is a point.
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