Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Lusins_separation_theorem> ?p ?o }
Showing triples 1 to 36 of
36
with 100 triples per page.
- Lusins_separation_theorem 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.".
- Lusins_separation_theorem wikiPageExternalLink fm1011.pdf.
- Lusins_separation_theorem wikiPageExternalLink 1.
- Lusins_separation_theorem wikiPageID "30563979".
- Lusins_separation_theorem wikiPageLength "2016".
- Lusins_separation_theorem wikiPageOutDegree "11".
- Lusins_separation_theorem wikiPageRevisionID "616041706".
- Lusins_separation_theorem wikiPageWikiLink Analytic_set.
- Lusins_separation_theorem wikiPageWikiLink Borel_set.
- Lusins_separation_theorem wikiPageWikiLink Category:Descriptive_set_theory.
- Lusins_separation_theorem wikiPageWikiLink Category:Theorems_in_the_foundations_of_mathematics.
- Lusins_separation_theorem wikiPageWikiLink Category:Theorems_in_topology.
- Lusins_separation_theorem wikiPageWikiLink Descriptive_set_theory.
- Lusins_separation_theorem wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Lusins_separation_theorem wikiPageWikiLink Mathematical_logic.
- Lusins_separation_theorem wikiPageWikiLink Nikolai_Luzin.
- Lusins_separation_theorem wikiPageWikiLink Polish_space.
- Lusins_separation_theorem wikiPageWikiLink Springer_Science+Business_Media.
- Lusins_separation_theorem wikiPageWikiLinkText "Lusin's separation theorem".
- Lusins_separation_theorem wikiPageUsesTemplate Template:Citation.
- Lusins_separation_theorem wikiPageUsesTemplate Template:Mathlogic-stub.
- Lusins_separation_theorem wikiPageUsesTemplate Template:Otheruses4.
- Lusins_separation_theorem wikiPageUsesTemplate Template:Reflist.
- Lusins_separation_theorem subject Category:Descriptive_set_theory.
- Lusins_separation_theorem subject Category:Theorems_in_the_foundations_of_mathematics.
- Lusins_separation_theorem subject Category:Theorems_in_topology.
- Lusins_separation_theorem hypernym Subsets.
- Lusins_separation_theorem type Theorem.
- Lusins_separation_theorem 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.".
- Lusins_separation_theorem label "Lusin's separation theorem".
- Lusins_separation_theorem sameAs Q6705124.
- Lusins_separation_theorem sameAs m.0g9yndr.
- Lusins_separation_theorem sameAs Luzins_separationssats.
- Lusins_separation_theorem sameAs Q6705124.
- Lusins_separation_theorem wasDerivedFrom Lusins_separation_theorem?oldid=616041706.
- Lusins_separation_theorem isPrimaryTopicOf Lusins_separation_theorem.