{"title":"非度量流形的收缩分解可以产生其他流形","authors":"Robert J. Daverman","doi":"10.1016/0016-660X(79)90026-6","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents an example of a shrinkable (in the sense of Bing) cellular upper semi-continuous decomposition of a non-metric Hausdorff 2-manifold <em>V</em> such that the associated decomposition space is a 2-manifold topologically distinct from <em>V</em>.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 27-31"},"PeriodicalIF":0.0000,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90026-6","citationCount":"0","resultStr":"{\"title\":\"Shrinkable decompositions of non-metric manifolds can produce other manifolds\",\"authors\":\"Robert J. Daverman\",\"doi\":\"10.1016/0016-660X(79)90026-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper presents an example of a shrinkable (in the sense of Bing) cellular upper semi-continuous decomposition of a non-metric Hausdorff 2-manifold <em>V</em> such that the associated decomposition space is a 2-manifold topologically distinct from <em>V</em>.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"10 1\",\"pages\":\"Pages 27-31\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1979-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0016-660X(79)90026-6\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X79900266\",\"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/0016660X79900266","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Shrinkable decompositions of non-metric manifolds can produce other manifolds
This paper presents an example of a shrinkable (in the sense of Bing) cellular upper semi-continuous decomposition of a non-metric Hausdorff 2-manifold V such that the associated decomposition space is a 2-manifold topologically distinct from V.
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