{"title":"拓扑分区","authors":"Paul Bankston, Richard J. McGovern","doi":"10.1016/0016-660X(79)90034-5","DOIUrl":null,"url":null,"abstract":"<div><p>A space <em>X partitions</em> a space <em>Y</em> if <em>Y</em> is the union of pairwise disjoint subjets, each of which is homeomorphic to <em>X</em>. We study the topological partition relation, particularly in the context of separable metric spaces, obtaining topological analogues to well-known problems in the theory of geometric partitions.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 215-229"},"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)90034-5","citationCount":"0","resultStr":"{\"title\":\"Topological partitions\",\"authors\":\"Paul Bankston, Richard J. McGovern\",\"doi\":\"10.1016/0016-660X(79)90034-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A space <em>X partitions</em> a space <em>Y</em> if <em>Y</em> is the union of pairwise disjoint subjets, each of which is homeomorphic to <em>X</em>. We study the topological partition relation, particularly in the context of separable metric spaces, obtaining topological analogues to well-known problems in the theory of geometric partitions.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"10 3\",\"pages\":\"Pages 215-229\"},\"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)90034-5\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X79900345\",\"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/0016660X79900345","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A space X partitions a space Y if Y is the union of pairwise disjoint subjets, each of which is homeomorphic to X. We study the topological partition relation, particularly in the context of separable metric spaces, obtaining topological analogues to well-known problems in the theory of geometric partitions.
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