Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Luzin_space> ?p ?o }
Showing triples 1 to 61 of
61
with 100 triples per page.
- 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. The existence of a Luzin space is independent of the axioms of ZFC. Luzin (1914) showed that the continuum hypothesis implies that a Luzin space exists. Kunen (1977) showed that assuming Martin's Axiom and the negation of the continuum hypothesis, there are no Hausdorff Luzin spaces.".
- Luzin_space wikiPageExternalLink paper.phtml?journal_id=rm&paper_id=3884.
- Luzin_space wikiPageID "10990040".
- Luzin_space wikiPageLength "4188".
- Luzin_space wikiPageOutDegree "26".
- Luzin_space wikiPageRevisionID "624811711".
- Luzin_space wikiPageWikiLink Baire_category.
- Luzin_space wikiPageWikiLink Baire_space.
- Luzin_space wikiPageWikiLink Category:Descriptive_set_theory.
- Luzin_space wikiPageWikiLink Category:Properties_of_topological_spaces.
- Luzin_space wikiPageWikiLink Continuum_hypothesis.
- Luzin_space wikiPageWikiLink Countable.
- Luzin_space wikiPageWikiLink Countable_set.
- Luzin_space wikiPageWikiLink Descriptive_set_theory.
- Luzin_space wikiPageWikiLink Isolated_point.
- Luzin_space wikiPageWikiLink Martins_Axiom.
- Luzin_space wikiPageWikiLink Martins_axiom.
- Luzin_space wikiPageWikiLink Mathematics.
- Luzin_space wikiPageWikiLink Meagre_set.
- Luzin_space wikiPageWikiLink Measure-category_duality.
- Luzin_space wikiPageWikiLink Measure_(mathematics).
- Luzin_space wikiPageWikiLink Measure_zero.
- Luzin_space wikiPageWikiLink Nikolai_Luzin.
- Luzin_space wikiPageWikiLink Nonmeager.
- Luzin_space wikiPageWikiLink Nowhere-dense.
- Luzin_space wikiPageWikiLink Nowhere_dense_set.
- Luzin_space wikiPageWikiLink Null_set.
- Luzin_space wikiPageWikiLink Real_analysis.
- Luzin_space wikiPageWikiLink Real_number.
- Luzin_space wikiPageWikiLink Real_numbers.
- Luzin_space wikiPageWikiLink Russian_Mathematical_Surveys.
- Luzin_space wikiPageWikiLink Separation_axiom.
- Luzin_space wikiPageWikiLink Sierpiński_set.
- Luzin_space wikiPageWikiLink Subset.
- Luzin_space wikiPageWikiLink T1_space.
- Luzin_space wikiPageWikiLink Uncountable.
- Luzin_space wikiPageWikiLink Uncountable_set.
- Luzin_space wikiPageWikiLink Wacław_Sierpiński.
- Luzin_space wikiPageWikiLinkText "Luzin space".
- 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 wikiPageUsesTemplate Template:Citation.
- Luzin_space wikiPageUsesTemplate Template:For.
- Luzin_space wikiPageUsesTemplate Template:Harvtxt.
- Luzin_space wikiPageUsesTemplate Template:Mvar.
- Luzin_space wikiPageUsesTemplate Template:Springer.
- Luzin_space subject Category:Descriptive_set_theory.
- Luzin_space subject Category:Properties_of_topological_spaces.
- Luzin_space hypernym Space.
- Luzin_space type Property.
- Luzin_space type Space.
- 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. The existence of a Luzin space is independent of the axioms of ZFC.".
- Luzin_space label "Luzin space".
- Luzin_space sameAs m.02qxfd9.
- Luzin_space sameAs Q4381558.
- Luzin_space sameAs Q4381558.
- Luzin_space wasDerivedFrom Luzin_space?oldid=624811711.
- Luzin_space isPrimaryTopicOf Luzin_space.