{"title":"关于全称度量的局部有限维空间","authors":"Leonid Luxemburg","doi":"10.1016/0016-660X(79)90040-0","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we prove the existence of a universal element in the class of locally-finite dimensional metric spaces with weight τ. We also show that every locally finite dimensional metric space has uniformly zero-dimensional continuous mapping in a locally compact locally finite dimensional separable metric space.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 283-290"},"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)90040-0","citationCount":"3","resultStr":"{\"title\":\"On universal metric locally finite dimensional spaces\",\"authors\":\"Leonid Luxemburg\",\"doi\":\"10.1016/0016-660X(79)90040-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we prove the existence of a universal element in the class of locally-finite dimensional metric spaces with weight τ. We also show that every locally finite dimensional metric space has uniformly zero-dimensional continuous mapping in a locally compact locally finite dimensional separable metric space.</p></div>\",\"PeriodicalId\":100574,\"journal\":{\"name\":\"General Topology and its Applications\",\"volume\":\"10 3\",\"pages\":\"Pages 283-290\"},\"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)90040-0\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Topology and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0016660X79900400\",\"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/0016660X79900400","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On universal metric locally finite dimensional spaces
In this paper we prove the existence of a universal element in the class of locally-finite dimensional metric spaces with weight τ. We also show that every locally finite dimensional metric space has uniformly zero-dimensional continuous mapping in a locally compact locally finite dimensional separable metric space.
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