Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Box_topology> ?p ?o }
Showing triples 1 to 73 of
73
with 100 triples per page.
- Box_topology abstract "In topology, the cartesian product of topological spaces can be given several different topologies. One of the more obvious choices is the box topology, where a base is given by the Cartesian products of open sets in the component spaces. Another possibility is the product topology, where a base is given by the Cartesian products of open sets in the component spaces, only finitely many of which can be not equal to the entire component space.While the box topology has a somewhat more intuitive definition than the product topology, it satisfies fewer desirable properties. In particular, if all the component spaces are compact, the box topology on their Cartesian product will not necessarily be compact, although the product topology on their Cartesian product will always be compact. In general, the box topology is finer than the product topology, although the two agree in the case of finite direct products (or when all but finitely many of the factors are trivial).".
- Box_topology wikiPageID "954333".
- Box_topology wikiPageLength "7318".
- Box_topology wikiPageOutDegree "37".
- Box_topology wikiPageRevisionID "632990165".
- Box_topology wikiPageWikiLink Almost_all.
- Box_topology wikiPageWikiLink Base_(topology).
- Box_topology wikiPageWikiLink Basis_(topology).
- Box_topology wikiPageWikiLink Cartesian_product.
- Box_topology wikiPageWikiLink Category:Binary_operations.
- Box_topology wikiPageWikiLink Category:Topological_spaces.
- Box_topology wikiPageWikiLink Compact_space.
- Box_topology wikiPageWikiLink Comparison_of_topologies.
- Box_topology wikiPageWikiLink Completely_regular.
- Box_topology wikiPageWikiLink Connected_space.
- Box_topology wikiPageWikiLink Connection_(mathematics).
- Box_topology wikiPageWikiLink Continuous_function.
- Box_topology wikiPageWikiLink Continuous_function_(topology).
- Box_topology wikiPageWikiLink Continuum_hypothesis.
- Box_topology wikiPageWikiLink Counterexample.
- Box_topology wikiPageWikiLink Counterexamples_in_Topology.
- Box_topology wikiPageWikiLink Cylinder_set.
- Box_topology wikiPageWikiLink Finer_topology.
- Box_topology wikiPageWikiLink First-countable_space.
- Box_topology wikiPageWikiLink First_countable.
- Box_topology wikiPageWikiLink Hilbert_cube.
- Box_topology wikiPageWikiLink Index_set.
- Box_topology wikiPageWikiLink J._Arthur_Seebach,_Jr..
- Box_topology wikiPageWikiLink Limit_of_a_function.
- Box_topology wikiPageWikiLink Lynn_Arthur_Steen.
- Box_topology wikiPageWikiLink Lynn_Steen.
- Box_topology wikiPageWikiLink Metrizable.
- Box_topology wikiPageWikiLink Metrization_theorem.
- Box_topology wikiPageWikiLink Paracompact.
- Box_topology wikiPageWikiLink Paracompact_space.
- Box_topology wikiPageWikiLink Pointwise_convergence.
- Box_topology wikiPageWikiLink Product_topology.
- Box_topology wikiPageWikiLink Real_line.
- Box_topology wikiPageWikiLink Separable_space.
- Box_topology wikiPageWikiLink Sequence.
- Box_topology wikiPageWikiLink Topological_space.
- Box_topology wikiPageWikiLink Topology.
- Box_topology wikiPageWikiLink Trivial_topology.
- Box_topology wikiPageWikiLink Tychonoff_space.
- Box_topology wikiPageWikiLink Uniform_convergence.
- Box_topology wikiPageWikiLink Wiktionary:finite.
- Box_topology wikiPageWikiLinkText "Box product topology".
- Box_topology wikiPageWikiLinkText "Box topology".
- Box_topology wikiPageWikiLinkText "box topology".
- Box_topology b "n=1".
- Box_topology hasPhotoCollection Box_topology.
- Box_topology id "3095".
- Box_topology p "Infinity".
- Box_topology title "Box topology".
- Box_topology wikiPageUsesTemplate Template:Cite_book.
- Box_topology wikiPageUsesTemplate Template:Confusing.
- Box_topology wikiPageUsesTemplate Template:Planetmath_reference.
- Box_topology wikiPageUsesTemplate Template:Reflist.
- Box_topology wikiPageUsesTemplate Template:Su.
- Box_topology subject Category:Binary_operations.
- Box_topology subject Category:Topological_spaces.
- Box_topology type Article.
- Box_topology type Article.
- Box_topology type Space.
- Box_topology comment "In topology, the cartesian product of topological spaces can be given several different topologies. One of the more obvious choices is the box topology, where a base is given by the Cartesian products of open sets in the component spaces.".
- Box_topology label "Box topology".
- Box_topology sameAs Topologie_des_boîtes.
- Box_topology sameAs 상자_위상.
- Box_topology sameAs m.03t13y.
- Box_topology sameAs Q4951625.
- Box_topology sameAs Q4951625.
- Box_topology wasDerivedFrom Box_topology?oldid=632990165.
- Box_topology isPrimaryTopicOf Box_topology.