Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Kolmogorov_space> ?p ?o }
- Kolmogorov_space abstract "In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other. In a T0 space all points are topologically distinguishable.This condition, called the T0 condition, is the weakest of the separation axioms. Nearly all topological spaces normally studied in mathematics are T0 spaces. In particular, all T1 spaces, i.e., all spaces in which for every pair of distinct points each has a neighborhood not containing the other, are T0 spaces. This includes all T2 (or Hausdorff) spaces, i.e., all topological spaces in which distinct points have disjoint neighbourhoods. Given any topological space one can construct a T0 space by identifying topologically indistinguishable points.T0 spaces that are not T1 spaces are exactly those spaces for which the specialization preorder is a nontrivial partial order. Such spaces naturally occur in computer science, specifically in denotational semantics.".
- Kolmogorov_space wikiPageExternalLink separation.pdf.
- Kolmogorov_space wikiPageID "68121".
- Kolmogorov_space wikiPageLength "11893".
- Kolmogorov_space wikiPageOutDegree "82".
- Kolmogorov_space wikiPageRevisionID "704413501".
- Kolmogorov_space wikiPageWikiLink 0_(number).
- Kolmogorov_space wikiPageWikiLink Alexandrov_topology.
- Kolmogorov_space wikiPageWikiLink Almost_everywhere.
- Kolmogorov_space wikiPageWikiLink Andrey_Kolmogorov.
- Kolmogorov_space wikiPageWikiLink Category:Properties_of_topological_spaces.
- Kolmogorov_space wikiPageWikiLink Category:Separation_axioms.
- Kolmogorov_space wikiPageWikiLink Commutative_ring.
- Kolmogorov_space wikiPageWikiLink Complete_metric_space.
- Kolmogorov_space wikiPageWikiLink Complex_plane.
- Kolmogorov_space wikiPageWikiLink Computer_science.
- Kolmogorov_space wikiPageWikiLink Denotational_semantics.
- Kolmogorov_space wikiPageWikiLink Equivalence_class.
- Kolmogorov_space wikiPageWikiLink Equivalence_relation.
- Kolmogorov_space wikiPageWikiLink Excluded_point_topology.
- Kolmogorov_space wikiPageWikiLink Finite_set.
- Kolmogorov_space wikiPageWikiLink Hausdorff_space.
- Kolmogorov_space wikiPageWikiLink Hilbert_space.
- Kolmogorov_space wikiPageWikiLink Homeomorphism.
- Kolmogorov_space wikiPageWikiLink If_and_only_if.
- Kolmogorov_space wikiPageWikiLink Lebesgue_integration.
- Kolmogorov_space wikiPageWikiLink Lp_space.
- Kolmogorov_space wikiPageWikiLink Mathematical_analysis.
- Kolmogorov_space wikiPageWikiLink Mathematical_structure.
- Kolmogorov_space wikiPageWikiLink Mathematics.
- Kolmogorov_space wikiPageWikiLink Maximal_ideal.
- Kolmogorov_space wikiPageWikiLink Measurable_function.
- Kolmogorov_space wikiPageWikiLink Metric_space.
- Kolmogorov_space wikiPageWikiLink Natural_transformation.
- Kolmogorov_space wikiPageWikiLink Neighbourhood.
- Kolmogorov_space wikiPageWikiLink Norm_(mathematics).
- Kolmogorov_space wikiPageWikiLink Normed_vector_space.
- Kolmogorov_space wikiPageWikiLink Open_set.
- Kolmogorov_space wikiPageWikiLink Order_topology.
- Kolmogorov_space wikiPageWikiLink Overlapping_interval_topology.
- Kolmogorov_space wikiPageWikiLink Parallelogram_law.
- Kolmogorov_space wikiPageWikiLink Partially_ordered_set.
- Kolmogorov_space wikiPageWikiLink Particular_point_topology.
- Kolmogorov_space wikiPageWikiLink Physicist.
- Kolmogorov_space wikiPageWikiLink Prime_ideal.
- Kolmogorov_space wikiPageWikiLink Product_topology.
- Kolmogorov_space wikiPageWikiLink Pseudometric_space.
- Kolmogorov_space wikiPageWikiLink Quantum_mechanics.
- Kolmogorov_space wikiPageWikiLink Quotient_space_(topology).
- Kolmogorov_space wikiPageWikiLink Real_line.
- Kolmogorov_space wikiPageWikiLink Reflective_subcategory.
- Kolmogorov_space wikiPageWikiLink Scheme_(mathematics).
- Kolmogorov_space wikiPageWikiLink Separated_sets.
- Kolmogorov_space wikiPageWikiLink Separation_axiom.
- Kolmogorov_space wikiPageWikiLink Sierpiński_space.
- Kolmogorov_space wikiPageWikiLink Singleton_(mathematics).
- Kolmogorov_space wikiPageWikiLink Specialization_(pre)order.
- Kolmogorov_space wikiPageWikiLink Spectrum_of_a_ring.
- Kolmogorov_space wikiPageWikiLink Square_root.
- Kolmogorov_space wikiPageWikiLink T1_space.
- Kolmogorov_space wikiPageWikiLink Topological_indistinguishability.
- Kolmogorov_space wikiPageWikiLink Topological_space.
- Kolmogorov_space wikiPageWikiLink Topology.
- Kolmogorov_space wikiPageWikiLink Total_order.
- Kolmogorov_space wikiPageWikiLink Trivial_topology.
- Kolmogorov_space wikiPageWikiLink Uniform_space.
- Kolmogorov_space wikiPageWikiLink Vector_space.
- Kolmogorov_space wikiPageWikiLink Zariski_topology.
- Kolmogorov_space wikiPageWikiLinkText "Kolmogorov axiom".
- Kolmogorov_space wikiPageWikiLinkText "Kolmogorov quotient".
- Kolmogorov_space wikiPageWikiLinkText "Kolmogorov space".
- Kolmogorov_space wikiPageWikiLinkText "Kolmogorov space#The_Kolmogorov_quotient".
- Kolmogorov_space wikiPageWikiLinkText "Kolmogorov".
- Kolmogorov_space wikiPageWikiLinkText "Kolmogorov_space".
- Kolmogorov_space wikiPageUsesTemplate Template:Separation_axioms.
- Kolmogorov_space subject Category:Properties_of_topological_spaces.
- Kolmogorov_space subject Category:Separation_axioms.
- Kolmogorov_space hypernym Space.
- Kolmogorov_space type Field.
- Kolmogorov_space type Property.
- Kolmogorov_space type Space.
- Kolmogorov_space comment "In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other. In a T0 space all points are topologically distinguishable.This condition, called the T0 condition, is the weakest of the separation axioms. Nearly all topological spaces normally studied in mathematics are T0 spaces.".
- Kolmogorov_space label "Kolmogorov space".
- Kolmogorov_space sameAs Q1148924.
- Kolmogorov_space sameAs فضاء_كولموغوروف.
- Kolmogorov_space sameAs Espai_de_Kolmogórov.
- Kolmogorov_space sameAs Kolmogoroff-Raum.
- Kolmogorov_space sameAs Espacio_de_Kolmogórov.
- Kolmogorov_space sameAs Espace_de_Kolmogorov.
- Kolmogorov_space sameAs Spazio_T0.
- Kolmogorov_space sameAs コルモゴロフ空間.
- Kolmogorov_space sameAs 콜모고로프_공간.
- Kolmogorov_space sameAs Kolmogorov-ruimte.
- Kolmogorov_space sameAs Przestrzeń_T0.
- Kolmogorov_space sameAs Espaço_de_Kolmogorov.
- Kolmogorov_space sameAs m.0hv8f.
- Kolmogorov_space sameAs Kolmogorovrum.
- Kolmogorov_space sameAs Q1148924.
- Kolmogorov_space sameAs 柯爾莫果洛夫空間.
- Kolmogorov_space wasDerivedFrom Kolmogorov_space?oldid=704413501.