{"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}
引用次数: 3
Abstract
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.
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
