{"title":"The one-point Lindelöfication of an uncountable discrete space can be surlindelöf","authors":"O. Okunev","doi":"10.2478/s11533-013-0279-8","DOIUrl":null,"url":null,"abstract":"We prove that the one-point Lindelöfication of a discrete space of cardinality ω1 is homeomorphic to a subspace of Cp(X) for some hereditarily Lindelöf space X if the axiom holds.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"54 18","pages":"1750-1754"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2478/s11533-013-0279-8","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0279-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that the one-point Lindelöfication of a discrete space of cardinality ω1 is homeomorphic to a subspace of Cp(X) for some hereditarily Lindelöf space X if the axiom holds.
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