{"title":"从βX缩回到βX- x","authors":"Eric K. van Douwen","doi":"10.1016/0016-660X(78)90061-2","DOIUrl":null,"url":null,"abstract":"<div><p>If there is a retraction from β<em>X</em> onto β<em>X-X</em> then <em>X</em> is locally compact and pseudocompact. (But <em>X</em> can have arbitrarily large closed discrete C<sup>∗</sup>-embedded subsets.)</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 2","pages":"Pages 169-173"},"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)90061-2","citationCount":"7","resultStr":"{\"title\":\"Retractions from βX onto βX-X\",\"authors\":\"Eric K. van Douwen\",\"doi\":\"10.1016/0016-660X(78)90061-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>If there is a retraction from β<em>X</em> onto β<em>X-X</em> then <em>X</em> is locally compact and pseudocompact. (But <em>X</em> can have arbitrarily large closed discrete C<sup>∗</sup>-embedded subsets.)</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"9 2\",\"pages\":\"Pages 169-173\"},\"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)90061-2\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X78900612\",\"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/0016660X78900612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
If there is a retraction from βX onto βX-X then X is locally compact and pseudocompact. (But X can have arbitrarily large closed discrete C∗-embedded subsets.)
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