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- Urysohns_lemma abstract "In topology, Urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by a function.Urysohn's lemma is commonly used to construct continuous functions with various properties on normal spaces. It is widely applicable since all metric spaces and all compact Hausdorff spaces are normal. The lemma is generalized by (and usually used in the proof of) the Tietze extension theorem.The lemma is named after the mathematician Pavel Samuilovich Urysohn.".
- Urysohns_lemma thumbnail Urysohn-function01.png?width=300.
- Urysohns_lemma wikiPageExternalLink urysohn3.html.
- Urysohns_lemma wikiPageID "21391563".
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- Urysohns_lemma wikiPageLength "53".
- Urysohns_lemma wikiPageOutDegree "1".
- Urysohns_lemma wikiPageOutDegree "39".
- Urysohns_lemma wikiPageRedirects Urysohns_lemma.
- Urysohns_lemma wikiPageRevisionID "348839721".
- Urysohns_lemma wikiPageRevisionID "667588270".
- Urysohns_lemma wikiPageWikiLink Category:Articles_containing_proofs.
- Urysohns_lemma wikiPageWikiLink Category:Lemmas.
- Urysohns_lemma wikiPageWikiLink Category:Separation_axioms.
- Urysohns_lemma wikiPageWikiLink Category:Theorems_in_topology.
- Urysohns_lemma wikiPageWikiLink Closed_set.
- Urysohns_lemma wikiPageWikiLink Closure_(topology).
- Urysohns_lemma wikiPageWikiLink Compact_space.
- Urysohns_lemma wikiPageWikiLink Continuous_function.
- Urysohns_lemma wikiPageWikiLink Continuous_function_(topology).
- Urysohns_lemma wikiPageWikiLink Cutoff_function.
- Urysohns_lemma wikiPageWikiLink Dense_set.
- Urysohns_lemma wikiPageWikiLink Disjoint_sets.
- Urysohns_lemma wikiPageWikiLink Dyadic_fraction.
- Urysohns_lemma wikiPageWikiLink Dyadic_rational.
- Urysohns_lemma wikiPageWikiLink Hausdorff_space.
- Urysohns_lemma wikiPageWikiLink Infimum.
- Urysohns_lemma wikiPageWikiLink Infimum_and_supremum.
- Urysohns_lemma wikiPageWikiLink Lemma_(mathematics).
- Urysohns_lemma wikiPageWikiLink Mathematical_induction.
- Urysohns_lemma wikiPageWikiLink Mathematician.
- Urysohns_lemma wikiPageWikiLink Metric_space.
- Urysohns_lemma wikiPageWikiLink Mizar_system.
- Urysohns_lemma wikiPageWikiLink Mollifier.
- Urysohns_lemma wikiPageWikiLink Neighbourhood_(mathematics).
- Urysohns_lemma wikiPageWikiLink Neighbourhood_(topology).
- Urysohns_lemma wikiPageWikiLink Normal_space.
- Urysohns_lemma wikiPageWikiLink Open_set.
- Urysohns_lemma wikiPageWikiLink Pavel_Samuilovich_Urysohn.
- Urysohns_lemma wikiPageWikiLink Perfectly_normal_space.
- Urysohns_lemma wikiPageWikiLink Precisely_separated_by_a_function.
- Urysohns_lemma wikiPageWikiLink Separated_by_a_function.
- Urysohns_lemma wikiPageWikiLink Separated_by_neighbourhoods.
- Urysohns_lemma wikiPageWikiLink Separated_sets.
- Urysohns_lemma wikiPageWikiLink T1_space.
- Urysohns_lemma wikiPageWikiLink Tietze_extension_theorem.
- Urysohns_lemma wikiPageWikiLink Topological_space.
- Urysohns_lemma wikiPageWikiLink Topology.
- Urysohns_lemma wikiPageWikiLink Tychonoff_space.
- Urysohns_lemma wikiPageWikiLink Unit_interval.
- Urysohns_lemma wikiPageWikiLink Urysohns_lemma.
- Urysohns_lemma wikiPageWikiLink File:Urysohn-function01.png.
- Urysohns_lemma wikiPageWikiLinkText "Urysohn's Lemma".
- Urysohns_lemma wikiPageWikiLinkText "Urysohn's lemma".
- Urysohns_lemma wikiPageWikiLinkText "Urysohn's_lemma".
- Urysohns_lemma hasPhotoCollection Urysohns_lemma.
- Urysohns_lemma id "3597".
- Urysohns_lemma id "p/u095880".
- Urysohns_lemma title "Urysohn lemma".
- Urysohns_lemma title "proof of Urysohn's lemma".
- Urysohns_lemma wikiPageUsesTemplate Template:Planetmath_reference.
- Urysohns_lemma wikiPageUsesTemplate Template:R_from_modification.
- Urysohns_lemma wikiPageUsesTemplate Template:Springer.
- Urysohns_lemma subject Category:Articles_containing_proofs.
- Urysohns_lemma subject Category:Lemmas.
- Urysohns_lemma subject Category:Separation_axioms.
- Urysohns_lemma subject Category:Theorems_in_topology.
- Urysohns_lemma hypernym Lemma.
- Urysohns_lemma type Redirect.
- Urysohns_lemma comment "In topology, Urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by a function.Urysohn's lemma is commonly used to construct continuous functions with various properties on normal spaces. It is widely applicable since all metric spaces and all compact Hausdorff spaces are normal.".
- Urysohns_lemma label "Urysohn's lemma".
- Urysohns_lemma label "Urysohns lemma".
- Urysohns_lemma sameAs Lemma_von_Urysohn.
- Urysohns_lemma sameAs Urysonin_lemma.
- Urysohns_lemma sameAs Lemme_dUrysohn.
- Urysohns_lemma sameAs הלמה_של_אוריסון.
- Urysohns_lemma sameAs Lemma_di_Urysohn.
- Urysohns_lemma sameAs 우리손의_보조정리.
- Urysohns_lemma sameAs Lemma_van_Urysohn.
- Urysohns_lemma sameAs Lemat_Urysohna.
- Urysohns_lemma sameAs Lema_de_Urysohn.
- Urysohns_lemma sameAs m.0d3zw.
- Urysohns_lemma sameAs Функциональная_отделимость.
- Urysohns_lemma sameAs Urysohns_lemma.
- Urysohns_lemma sameAs Лема_Урисона.
- Urysohns_lemma sameAs Bổ_đề_Urysohn.
- Urysohns_lemma sameAs Q1816967.
- Urysohns_lemma sameAs Q1816967.
- Urysohns_lemma sameAs 乌雷松引理.
- Urysohns_lemma wasDerivedFrom Urysohns_lemma?oldid=348839721.
- Urysohns_lemma wasDerivedFrom Urysohns_lemmaoldid=667588270.
- Urysohns_lemma depiction Urysohn-function01.png.
- Urysohns_lemma isPrimaryTopicOf Urysohns_lemma.