{"title":"关于希尔伯特立方体的某些和","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":"{\"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}","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}
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
