{"title":"A near-selection theorem","authors":"William E. Haver","doi":"10.1016/0016-660X(78)90056-9","DOIUrl":null,"url":null,"abstract":"<div><p>A near-selection theorem is proven for carriers defined on spaces that are the countable union of finite dimensional compacta. As an application a new proof is given of the fact that the space of homeomorphisms on a compact piecewise linear manifold is locally contractible. In addition a new criterion is given to determine if the space of homeomorphisms on a compact <em>n</em>-manifold is an <em>l</em><sub>2</sub>-manifold.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 2","pages":"Pages 117-124"},"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)90056-9","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X78900569","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
A near-selection theorem is proven for carriers defined on spaces that are the countable union of finite dimensional compacta. As an application a new proof is given of the fact that the space of homeomorphisms on a compact piecewise linear manifold is locally contractible. In addition a new criterion is given to determine if the space of homeomorphisms on a compact n-manifold is an l2-manifold.
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