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- Luzin_space abstract "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. Assuming Martin's Axiom and the negation of the continuum hypothesis, there are no Luzin spaces (or Luzin sets).Obvious properties of a Luzin set are that it must be nonmeager (otherwise the set itself is an uncountable meager subset) and of measure zero, because every set of positive measure contains a meager set which also has positive measure, and is therefore uncountable.".
- Luzin_space wikiPageExternalLink paper.phtml?journal_id=rm&paper_id=3884.
- Luzin_space wikiPageID "10990040".
- Luzin_space wikiPageRevisionID "577038896".
- Luzin_space first "B.A.".
- Luzin_space hasPhotoCollection Luzin_space.
- Luzin_space id "l/l061110".
- Luzin_space last "Efimov".
- Luzin_space title "Luzin space".
- Luzin_space subject Category:Descriptive_set_theory.
- Luzin_space subject Category:Properties_of_topological_spaces.
- Luzin_space type Abstraction100002137.
- Luzin_space type Possession100032613.
- Luzin_space type PropertiesOfTopologicalSpaces.
- Luzin_space type Property113244109.
- Luzin_space type Relation100031921.
- Luzin_space comment "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.".
- Luzin_space label "Luzin space".
- Luzin_space label "Пространство Лузина".
- Luzin_space sameAs m.02qxfd9.
- Luzin_space sameAs Q4381558.
- Luzin_space sameAs Q4381558.
- Luzin_space sameAs Luzin_space.
- Luzin_space wasDerivedFrom Luzin_space?oldid=577038896.
- Luzin_space isPrimaryTopicOf Luzin_space.