{"title":"前同伦和形状稳定性定理的初等证明","authors":"Ross Geoghegan","doi":"10.1016/0016-660X(78)90006-5","DOIUrl":null,"url":null,"abstract":"<div><p>Complete proofs are given, requiring only elementary homotopy theory as background, of certain theorems characterizing those spaces having the shape of simplicial complexes, and those pro-complexes having the pro-homotopy type of complexes.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 3","pages":"Pages 265-281"},"PeriodicalIF":0.0000,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90006-5","citationCount":"11","resultStr":"{\"title\":\"Elementary proofs of stability theorems in pro-homotopy and shape\",\"authors\":\"Ross Geoghegan\",\"doi\":\"10.1016/0016-660X(78)90006-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Complete proofs are given, requiring only elementary homotopy theory as background, of certain theorems characterizing those spaces having the shape of simplicial complexes, and those pro-complexes having the pro-homotopy type of complexes.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"8 3\",\"pages\":\"Pages 265-281\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0016-660X(78)90006-5\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X78900065\",\"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/0016660X78900065","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Elementary proofs of stability theorems in pro-homotopy and shape
Complete proofs are given, requiring only elementary homotopy theory as background, of certain theorems characterizing those spaces having the shape of simplicial complexes, and those pro-complexes having the pro-homotopy type of complexes.
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