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- Separation_axiom abstract "In topology and related fields of mathematics, there are several restrictions that one often makes on the kinds of topological spaces that one wishes to consider. Some of these restrictions are given by the separation axioms. These are sometimes called Tychonoff separation axioms, after Andrey Tychonoff.The separation axioms are axioms only in the sense that, when defining the notion of topological space, one could add these conditions as extra axioms to get a more restricted notion of what a topological space is. The modern approach is to fix once and for all the axiomatization of topological space and then speak of kinds of topological spaces.However, the term \"separation axiom\" has stuck. The separation axioms are denoted with the letter \"T\" after the German Trennungsaxiom, which means \"separation axiom.\"The precise meanings of the terms associated with the separation axioms has varied over time, as explained in History of the separation axioms. It is important to understand the authors' definition of each condition mentioned to know exactly what they mean, especially when reading older literature.".
- Separation_axiom thumbnail Separation_axioms_illustrated.png?width=300.
- Separation_axiom wikiPageExternalLink 0486434796.html.
- Separation_axiom wikiPageExternalLink separation.htm.
- Separation_axiom wikiPageExternalLink ccc.
- Separation_axiom wikiPageExternalLink separat.html.
- Separation_axiom wikiPageExternalLink productCd-0471838179.html.
- Separation_axiom wikiPageID "40117302".
- Separation_axiom wikiPageLength "16214".
- Separation_axiom wikiPageOutDegree "64".
- Separation_axiom wikiPageRevisionID "669605677".
- Separation_axiom wikiPageWikiLink Abbreviation.
- Separation_axiom wikiPageWikiLink Andrey_Nikolayevich_Tikhonov.
- Separation_axiom wikiPageWikiLink Axiom.
- Separation_axiom wikiPageWikiLink Axiomatic_system.
- Separation_axiom wikiPageWikiLink Base_(topology).
- Separation_axiom wikiPageWikiLink Category:Separation_axioms.
- Separation_axiom wikiPageWikiLink Category:Topology.
- Separation_axiom wikiPageWikiLink Closure_(topology).
- Separation_axiom wikiPageWikiLink Continuous_function.
- Separation_axiom wikiPageWikiLink Cover_(topology).
- Separation_axiom wikiPageWikiLink Disjoint_sets.
- Separation_axiom wikiPageWikiLink Distinct.
- Separation_axiom wikiPageWikiLink Equality_(mathematics).
- Separation_axiom wikiPageWikiLink Fréchet_space.
- Separation_axiom wikiPageWikiLink Functional_analysis.
- Separation_axiom wikiPageWikiLink General_topology.
- Separation_axiom wikiPageWikiLink German_language.
- Separation_axiom wikiPageWikiLink Glossary_of_topology.
- Separation_axiom wikiPageWikiLink Hausdorff_space.
- Separation_axiom wikiPageWikiLink History_of_the_separation_axioms.
- Separation_axiom wikiPageWikiLink Image_(mathematics).
- Separation_axiom wikiPageWikiLink Kolmogorov_space.
- Separation_axiom wikiPageWikiLink Mathematics.
- Separation_axiom wikiPageWikiLink Neighbourhood_(mathematics).
- Separation_axiom wikiPageWikiLink Normal_space.
- Separation_axiom wikiPageWikiLink Open_set.
- Separation_axiom wikiPageWikiLink Paracompact_space.
- Separation_axiom wikiPageWikiLink Quasi-regular_space.
- Separation_axiom wikiPageWikiLink Real_line.
- Separation_axiom wikiPageWikiLink Regular_space.
- Separation_axiom wikiPageWikiLink Semiregular_space.
- Separation_axiom wikiPageWikiLink Separated_sets.
- Separation_axiom wikiPageWikiLink Sober_space.
- Separation_axiom wikiPageWikiLink Star_refinement.
- Separation_axiom wikiPageWikiLink Subset.
- Separation_axiom wikiPageWikiLink T1_space.
- Separation_axiom wikiPageWikiLink Topological_indistinguishability.
- Separation_axiom wikiPageWikiLink Topological_space.
- Separation_axiom wikiPageWikiLink Topology.
- Separation_axiom wikiPageWikiLink Tychonoff_space.
- Separation_axiom wikiPageWikiLink Urysohn_and_completely_Hausdorff_spaces.
- Separation_axiom wikiPageWikiLink Urysohns_lemma.
- Separation_axiom wikiPageWikiLink File:Separation_axioms.png.
- Separation_axiom wikiPageWikiLink File:Separation_axioms_illustrated.png.
- Separation_axiom wikiPageWikiLinkText "Separation axiom".
- Separation_axiom wikiPageWikiLinkText "T axioms".
- Separation_axiom wikiPageWikiLinkText "separation axiom".
- Separation_axiom wikiPageUsesTemplate Template:Cite_book.
- Separation_axiom wikiPageUsesTemplate Template:For.
- Separation_axiom wikiPageUsesTemplate Template:Reflist.
- Separation_axiom subject Category:Separation_axioms.
- Separation_axiom subject Category:Topology.
- Separation_axiom hypernym Restrictions.
- Separation_axiom type Field.
- Separation_axiom type Property.
- Separation_axiom type Redirect.
- Separation_axiom type Concept.
- Separation_axiom comment "In topology and related fields of mathematics, there are several restrictions that one often makes on the kinds of topological spaces that one wishes to consider. Some of these restrictions are given by the separation axioms.".
- Separation_axiom label "Separation axiom".
- Separation_axiom sameAs Q1140985.
- Separation_axiom sameAs بديهية_الفصل.
- Separation_axiom sameAs Axioma_de_separació.
- Separation_axiom sameAs Уйрăлтарулăх_аксиоми.
- Separation_axiom sameAs Trennungsaxiom.
- Separation_axiom sameAs Apartiga_aksiomo.
- Separation_axiom sameAs Axiomas_de_separación.
- Separation_axiom sameAs Eralduvusaksioomid.
- Separation_axiom sameAs Axiome_de_séparation_(topologie).
- Separation_axiom sameAs אקסיומות_ההפרדה.
- Separation_axiom sameAs Aksioma_pemisahan.
- Separation_axiom sameAs Assioma_di_separazione.
- Separation_axiom sameAs 分離公理.
- Separation_axiom sameAs Scheidingsaxioma.
- Separation_axiom sameAs Aksjomaty_oddzielania.
- Separation_axiom sameAs Axiomas_de_separação.
- Separation_axiom sameAs m.0dwyq.
- Separation_axiom sameAs Аксиомы_отделимости.
- Separation_axiom sameAs Ayrılma_belitleri.
- Separation_axiom sameAs Аксіоми_відокремлюваності.
- Separation_axiom sameAs Tiên_đề_tách.
- Separation_axiom sameAs Q1140985.
- Separation_axiom sameAs 分离公理.
- Separation_axiom wasDerivedFrom Separation_axiom?oldid=669605677.
- Separation_axiom depiction Separation_axioms_illustrated.png.
- Separation_axiom isPrimaryTopicOf Separation_axiom.