将En (n≥3)分解为点和元胞集的零序列

General Topology and its Applications Pub Date : 1979-09-01 DOI:10.1016/0016-660X(79)90042-4

David G. Wright

{"title":"将En (n≥3)分解为点和元胞集的零序列","authors":"David G. Wright","doi":"10.1016/0016-660X(79)90042-4","DOIUrl":null,"url":null,"abstract":"<div><p>The non-manifold dog bone space of W.T. Eaton is modified to obtain a decomposition of Euclidean <em>n</em>-space, <em>n</em>≥3, into points and a null sequence of cellular sets so that the resulting decomposition space is not a manifold. Our construction follows a procedure given by R.J. Daverman who has proved this result for <em>n</em>≥5. Our construction has the advantage of working in all possible dimensions including the previously unknown dimension 4.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 297-304"},"PeriodicalIF":0.0000,"publicationDate":"1979-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90042-4","citationCount":"4","resultStr":"{\"title\":\"A decomposition of En (n≥3) into points and a null sequence of cellular sets\",\"authors\":\"David G. Wright\",\"doi\":\"10.1016/0016-660X(79)90042-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The non-manifold dog bone space of W.T. Eaton is modified to obtain a decomposition of Euclidean <em>n</em>-space, <em>n</em>≥3, into points and a null sequence of cellular sets so that the resulting decomposition space is not a manifold. Our construction follows a procedure given by R.J. Daverman who has proved this result for <em>n</em>≥5. Our construction has the advantage of working in all possible dimensions including the previously unknown dimension 4.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"10 3\",\"pages\":\"Pages 297-304\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1979-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0016-660X(79)90042-4\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X79900424\",\"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/0016660X79900424","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

对W.T. Eaton的非流形狗骨空间进行修正，得到欧几里得n空间n≥3分解为点和元胞集的零序列，从而得到的分解空间不是流形。我们的构造遵循R.J. Daverman给出的过程，他已经证明了n≥5时的结果。我们的结构的优点是可以在所有可能的维度上工作，包括以前未知的维度4。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A decomposition of En (n≥3) into points and a null sequence of cellular sets

The non-manifold dog bone space of W.T. Eaton is modified to obtain a decomposition of Euclidean n-space, n≥3, into points and a null sequence of cellular sets so that the resulting decomposition space is not a manifold. Our construction follows a procedure given by R.J. Daverman who has proved this result for n≥5. Our construction has the advantage of working in all possible dimensions including the previously unknown dimension 4.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助