{"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}
引用次数: 11
Abstract
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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