{"title":"On certain sums of Hilbert cubes","authors":"Michael Handel","doi":"10.1016/0016-660X(78)90039-9","DOIUrl":null,"url":null,"abstract":"<div><p>Sufficient conditions are given for the union of two Hilbert cube (manifolds) intersecting in a Hilbert cube (manifold) to be a Hilbert cube (manifold). The corollaries include a non-stabilized mapping cylinder theorem for embeddings between Hilbert cube manifolds and a sum theorem for Keller cubes.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 1","pages":"Pages 19-28"},"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)90039-9","citationCount":"13","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X78900399","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13
Abstract
Sufficient conditions are given for the union of two Hilbert cube (manifolds) intersecting in a Hilbert cube (manifold) to be a Hilbert cube (manifold). The corollaries include a non-stabilized mapping cylinder theorem for embeddings between Hilbert cube manifolds and a sum theorem for Keller cubes.
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