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- Q6705124 subject Q10129919.
- Q6705124 subject Q18550470.
- Q6705124 subject Q8374981.
- Q6705124 abstract "In descriptive set theory and mathematical logic, Lusin's separation theorem states that if A and B are disjoint analytic subsets of Polish space, then there is a Borel set C in the space such that A ⊆ C and B ∩ C = ∅. It is named after Nikolai Luzin, who proved it in 1927.The theorem can be generalized to show that for each sequence (An) of disjoint analytic sets there is a sequence (Bn) of disjoint Borel sets such that An ⊆ Bn for each n. An immediate consequence is Suslin's theorem, which states that if a set and its complement are both analytic, then the set is Borel.".
- Q6705124 wikiPageExternalLink fm1011.pdf.
- Q6705124 wikiPageExternalLink 1.
- Q6705124 wikiPageWikiLink Q10129919.
- Q6705124 wikiPageWikiLink Q1080067.
- Q6705124 wikiPageWikiLink Q1166618.
- Q6705124 wikiPageWikiLink Q1207972.
- Q6705124 wikiPageWikiLink Q176916.
- Q6705124 wikiPageWikiLink Q18550470.
- Q6705124 wikiPageWikiLink Q225869.
- Q6705124 wikiPageWikiLink Q3113164.
- Q6705124 wikiPageWikiLink Q374024.
- Q6705124 wikiPageWikiLink Q485312.
- Q6705124 wikiPageWikiLink Q8374981.
- Q6705124 comment "In descriptive set theory and mathematical logic, Lusin's separation theorem states that if A and B are disjoint analytic subsets of Polish space, then there is a Borel set C in the space such that A ⊆ C and B ∩ C = ∅. It is named after Nikolai Luzin, who proved it in 1927.The theorem can be generalized to show that for each sequence (An) of disjoint analytic sets there is a sequence (Bn) of disjoint Borel sets such that An ⊆ Bn for each n.".
- Q6705124 label "Lusin's separation theorem".