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About: Luzin space     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPropertiesOfTopologicalSpaces, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Possession100032613yago:Property113244109yago:Relation100031921yago:WikicatPropertiesOfTopologicalSpaces New Facet based on Instances of this Class

In mathematics, a Luzin space (or Lusin space), named for N. N. Luzin, is an uncountable topological T1 space without isolated points in which every nowhere-dense subset is countable. There are many minor variations of this definition in use: the T1 condition can be replaced by T2 or T3, and some authors allow a countable or even arbitrary number of isolated points.