Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Alexandrov_topology> ?p ?o }
- Alexandrov_topology abstract "In topology, an Alexandrov space (or Alexandrov-discrete space) is a topological space in which the intersection of any family of open sets is open. It is an axiom of topology that the intersection of any finite family of open sets is open. In an Alexandrov space the finite restriction is dropped.Alexandrov topologies are uniquely determined by their specialization preorders. Indeed, given any preorder ≤ on a set X, there is a unique Alexandrov topology on X for which the specialization preorder is ≤. The open sets are just the upper sets with respect to ≤. Thus, Alexandrov topologies on X are in one-to-one correspondence with preorders on X.Alexandrov spaces are also called finitely generated spaces since their topology is uniquely determined by the family of all finite subspaces. Alexandrov spaces can be viewed as a generalization of finite topological spaces.".
- Alexandrov_topology wikiPageID "542198".
- Alexandrov_topology wikiPageLength "14556".
- Alexandrov_topology wikiPageOutDegree "72".
- Alexandrov_topology wikiPageRevisionID "658950213".
- Alexandrov_topology wikiPageWikiLink Adjoint_functors.
- Alexandrov_topology wikiPageWikiLink Bijection.
- Alexandrov_topology wikiPageWikiLink Binary_relation.
- Alexandrov_topology wikiPageWikiLink Boolean_algebra_(structure).
- Alexandrov_topology wikiPageWikiLink Categorical_topology.
- Alexandrov_topology wikiPageWikiLink Category:Closure_operators.
- Alexandrov_topology wikiPageWikiLink Category:Order_theory.
- Alexandrov_topology wikiPageWikiLink Category:Properties_of_topological_spaces.
- Alexandrov_topology wikiPageWikiLink Category_of_sets.
- Alexandrov_topology wikiPageWikiLink Category_of_topological_spaces.
- Alexandrov_topology wikiPageWikiLink Closure_operator.
- Alexandrov_topology wikiPageWikiLink Coherent_topology.
- Alexandrov_topology wikiPageWikiLink Comparison_of_topologies.
- Alexandrov_topology wikiPageWikiLink Complete_lattice.
- Alexandrov_topology wikiPageWikiLink Complex_algebra.
- Alexandrov_topology wikiPageWikiLink Computer_science.
- Alexandrov_topology wikiPageWikiLink Concrete_functor.
- Alexandrov_topology wikiPageWikiLink Continuity_(topology).
- Alexandrov_topology wikiPageWikiLink Continuous_function.
- Alexandrov_topology wikiPageWikiLink Continuous_map_(topology).
- Alexandrov_topology wikiPageWikiLink Coreflective_subcategory.
- Alexandrov_topology wikiPageWikiLink Covariance_and_contravariance_of_functors.
- Alexandrov_topology wikiPageWikiLink Denotational_semantics.
- Alexandrov_topology wikiPageWikiLink Discrete_space.
- Alexandrov_topology wikiPageWikiLink Domain_theory.
- Alexandrov_topology wikiPageWikiLink Field_of_sets.
- Alexandrov_topology wikiPageWikiLink Final_hull.
- Alexandrov_topology wikiPageWikiLink Final_sink.
- Alexandrov_topology wikiPageWikiLink Finest_topology.
- Alexandrov_topology wikiPageWikiLink Finite_topological_space.
- Alexandrov_topology wikiPageWikiLink Finitely_generated_object.
- Alexandrov_topology wikiPageWikiLink Full_subcategory.
- Alexandrov_topology wikiPageWikiLink Functor.
- Alexandrov_topology wikiPageWikiLink Identity_function.
- Alexandrov_topology wikiPageWikiLink Interior_algebra.
- Alexandrov_topology wikiPageWikiLink Interior_operator.
- Alexandrov_topology wikiPageWikiLink Intersection_(set_theory).
- Alexandrov_topology wikiPageWikiLink Kolmogorov_space.
- Alexandrov_topology wikiPageWikiLink Kolomogorov_space.
- Alexandrov_topology wikiPageWikiLink Kripke_semantics.
- Alexandrov_topology wikiPageWikiLink Lattice_(order).
- Alexandrov_topology wikiPageWikiLink Lower_set.
- Alexandrov_topology wikiPageWikiLink Map_(mathematics).
- Alexandrov_topology wikiPageWikiLink Modal_algebra.
- Alexandrov_topology wikiPageWikiLink Modal_frame.
- Alexandrov_topology wikiPageWikiLink Modal_logic.
- Alexandrov_topology wikiPageWikiLink Monotone_function.
- Alexandrov_topology wikiPageWikiLink Monotonic_function.
- Alexandrov_topology wikiPageWikiLink Neighbourhood_(mathematics).
- Alexandrov_topology wikiPageWikiLink Neighbourhood_(topology).
- Alexandrov_topology wikiPageWikiLink Neighbourhood_filter.
- Alexandrov_topology wikiPageWikiLink Neighbourhood_system.
- Alexandrov_topology wikiPageWikiLink One-to-one_correspondence.
- Alexandrov_topology wikiPageWikiLink Open_set.
- Alexandrov_topology wikiPageWikiLink Order_complex.
- Alexandrov_topology wikiPageWikiLink P-space.
- Alexandrov_topology wikiPageWikiLink P._S._Alexandrov.
- Alexandrov_topology wikiPageWikiLink Partially_ordered_set.
- Alexandrov_topology wikiPageWikiLink Pavel_Alexandrov.
- Alexandrov_topology wikiPageWikiLink Poset_topology.
- Alexandrov_topology wikiPageWikiLink Power_set.
- Alexandrov_topology wikiPageWikiLink Preorder.
- Alexandrov_topology wikiPageWikiLink Preordered_set.
- Alexandrov_topology wikiPageWikiLink Reflective_subcategory.
- Alexandrov_topology wikiPageWikiLink Relational_structure.
- Alexandrov_topology wikiPageWikiLink Set_(mathematics).
- Alexandrov_topology wikiPageWikiLink Specialization_(pre)order.
- Alexandrov_topology wikiPageWikiLink Specialization_preorder.
- Alexandrov_topology wikiPageWikiLink Structure_(mathematical_logic).
- Alexandrov_topology wikiPageWikiLink Subcategory.
- Alexandrov_topology wikiPageWikiLink Topological_space.
- Alexandrov_topology wikiPageWikiLink Topology.
- Alexandrov_topology wikiPageWikiLink Upper_set.
- Alexandrov_topology wikiPageWikiLink Weak_equivalence_(homotopy_theory).
- Alexandrov_topology wikiPageWikiLink Weak_homotopy_equivalence.
- Alexandrov_topology wikiPageWikiLinkText "Alexandrov bi-coreflection".
- Alexandrov_topology wikiPageWikiLinkText "Alexandrov spaces".
- Alexandrov_topology wikiPageWikiLinkText "Alexandrov topology".
- Alexandrov_topology wikiPageWikiLinkText "Alexandrov".
- Alexandrov_topology wikiPageWikiLinkText "finitely generated".
- Alexandrov_topology hasPhotoCollection Alexandrov_topology.
- Alexandrov_topology wikiPageUsesTemplate Template:Reflist.
- Alexandrov_topology subject Category:Closure_operators.
- Alexandrov_topology subject Category:Order_theory.
- Alexandrov_topology subject Category:Properties_of_topological_spaces.
- Alexandrov_topology hypernym Space.
- Alexandrov_topology type Field.
- Alexandrov_topology type Property.
- Alexandrov_topology type Space.
- Alexandrov_topology type Theory.
- Alexandrov_topology comment "In topology, an Alexandrov space (or Alexandrov-discrete space) is a topological space in which the intersection of any family of open sets is open. It is an axiom of topology that the intersection of any finite family of open sets is open. In an Alexandrov space the finite restriction is dropped.Alexandrov topologies are uniquely determined by their specialization preorders.".
- Alexandrov_topology label "Alexandrov topology".
- Alexandrov_topology sameAs Topología_de_Aleksándrov.
- Alexandrov_topology sameAs Topologie_dAlexandroff.
- Alexandrov_topology sameAs Przestrzeń_Aleksandrowa.