About: Paracompact space

Property	Value
dbo:description	tipo de espacio topológico (es) топологическое пространство, в котором в каждое открытое покрытие можно вписать локально конечное открытое покрытие (ru) typ przestrzeni topologicznej Hausdorffa (pl) topological space in which every open cover has an open refinement that is locally finite (en) מרחב או חלל טופולוגי בו לכל מכסה פתוח יש עידון פתוח שהוא סופי מקומי (iw) 모든 열린 덮개가 국소 유한 열린 세분을 갖는 위상 공간 (ko)
dbo:wikiPageExternalLink	http://amathew.wordpress.com/2010/08/17/paracompactness/ https://archive.org/details/generaltopology00will_0
dbo:wikiPageWikiLink	dbr:Sorgenfrey_plane dbr:Finite_set dbr:Separable_space dbr:Uncountable_set dbr:Long_line_(topology) dbr:Locally_finite_collection dbr:Normal_space dbr:Product_topology dbr:Set_(mathematics) dbr:Metric_space dbr:Universal_quantification dbr:Paranormal_space dbr:Closed_set dbr:Mary_Ellen_Rudin dbr:Second-countable_space dbr:Čech_cohomology dbr:Counterexamples_in_Topology dbr:Particular_point_topology dbr:Star_refinement dbr:Cover_(topology) dbr:Lindelöf_space dbr:Mathematics dbr:Partition_of_unity dbr:Zermelo–Fraenkel_set_theory dbr:Open_set dbr:Sheaf_cohomology dbr:Metrizable_space dbr:Regular_space dbc:Properties_of_topological_spaces dbc:Separation_axioms dbr:Discrete_space dbr:Subset dbr:Topological_space dbr:Euclidean_space dbr:CW_complex dbr:Manifold dbr:Topological_manifold dbr:Tube_lemma dbr:Prüfer_manifold dbr:Differential_form dbr:Unit_interval dbr:Journal_de_Mathématiques_Pures_et_Appliquées dbr:T1_space dbr:Continuous_function_(topology) dbr:Union_(set_theory) dbr:Existential_quantification dbr:Support_(mathematics) dbr:Tychonoff's_theorem dbr:Orthocompact_space dbr:Compact_space dbr:Axiom_of_choice dbr:Axiom_of_dependent_choice dbc:Compactness_(mathematics) dbr:Ernest_Michael dbr:Hausdorff_space dbr:Jean_Dieudonné dbr:Sorgenfrey_line dbr:Metacompact_space dbr:A-paracompact_space dbr:Shrinking_space dbr:Michael_selection_theorem dbr:Bagpipe_theorem dbr:J._Arthur_Seebach,_Jr. dbr:Springer_Verlag dbr:Open_cover dbr:A._H._Stone dbr:F-sigma_set dbr:Metacompact dbr:Lynn_Arthur_Steen dbr:Neighborhood_(topology) dbr:Countable dbr:Cover_(set_theory) dbr:Locally_compact dbr:Locally_metrizable_space dbr:Infinite_(cardinality) dbr:Separation_axioms dbr:Subspace_(topology) dbr:Product_(topology)
dbp:id	p/p071300 (en)
dbp:title	Paracompact space (en)
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Cite_book dbt:Cite_web dbt:Sfn dbt:Hidden dbt:Citation dbt:Dugundji_Topology dbt:Munkres_Topology dbt:Harvtxt dbt:Isbn dbt:NumBlk dbt:Springer dbt:Short_description
dct:subject	dbc:Properties_of_topological_spaces dbc:Separation_axioms dbc:Compactness_(mathematics)
gold:hypernym	dbr:Space
rdfs:label	Paracompact space (en) Espai paracompacte (ca) Parakompakta spaco (eo) Parakompakter Raum (de) Espacio paracompacto (es) Espace paracompact (fr) Spazio paracompatto (it) パラコンパクト空間 (ja) 파라콤팩트 공간 (ko) Przestrzeń parazwarta (pl) Paracompacte ruimte (nl) Espaço paracompacto (pt) Паракомпактное пространство (ru) Паракомпактний простір (uk) 仿紧空间 (zh)
owl:sameAs	freebase:Paracompact space yago-res:Paracompact space wikidata:Paracompact space dbpedia-it:Paracompact space dbpedia-nl:Paracompact space dbpedia-de:Paracompact space dbpedia-fr:Paracompact space dbpedia-zh:Paracompact space dbpedia-ja:Paracompact space dbpedia-pt:Paracompact space dbpedia-es:Paracompact space dbpedia-fa:Paracompact space dbpedia-ru:Paracompact space dbpedia-pl:Paracompact space dbpedia-ko:Paracompact space dbpedia-ca:Paracompact space http://d-nb.info/gnd/4694611-1 dbpedia-eo:Paracompact space dbpedia-uk:Paracompact space dbpedia-global:Paracompact space dbr:Paracompact space
prov:wasDerivedFrom	wikipedia-en:Paracompact_space?oldid=1292538057&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Paracompact_space
is dbo:knownFor of	dbr:Jean_Dieudonné
is dbo:wikiPageRedirects of	dbr:Hereditarily_paracompact_space dbr:Fully_T4_space dbr:Fully_normal_Hausdorff_space dbr:Fully_normal_space dbr:Countably_paracompact dbr:Countably_paracompact_space dbr:Paracompact dbr:Paracompact_Hausdorff_space dbr:Paracompact_manifold dbr:Paracompact_topological_space dbr:Paracompactness dbr:Paracompactness_criteria dbr:Subordinate_partition_of_unity
is dbo:wikiPageWikiLink of	dbr:List_of_general_topology_topics dbr:World_manifold dbr:Locally_finite_collection dbr:Chern_class dbr:Tautological_bundle dbr:Number_line dbr:Metric_space dbr:Lebesgue_covering_dimension dbr:Stone's_theorem dbr:Paranormal_space dbr:Fibration dbr:Set-theoretic_topology dbr:Totally_bounded_space dbr:Feebly_compact_space dbr:Classifying_space_for_U(n) dbr:Dieudonné_plank dbr:Cover_(topology) dbr:Partition_of_unity dbr:Sheaf_cohomology dbr:Thom_space dbr:Subordination dbr:Stiefel–Whitney_class dbr:List_of_topologies dbr:Caryn_Navy dbr:Calculus_on_Euclidean_space dbr:Intersection_homology dbr:Point-finite_collection dbr:Pointless_topology dbr:Prüfer_manifold dbr:Space_(mathematics) dbr:Montel_space dbr:Support_(mathematics) dbr:Orthocompact_space dbr:Splitting_principle dbr:Compact_space dbr:Countably_compact_space dbr:Pseudocompact_space dbr:Ernest_Michael dbr:Jean_Dieudonné dbr:Collectionwise_normal_space dbr:Mesocompact_space dbr:Metacompact_space dbr:A-paracompact_space dbr:Realcompact_space dbr:Shrinking_space dbr:Dowker_space dbr:Michael_selection_theorem dbr:D-space dbr:Spaces_of_test_functions_and_distributions dbr:Bagpipe_theorem dbr:Complex_vector_bundle dbr:Fréchet–Urysohn_space dbr:Hereditarily_paracompact_space dbr:Glossary_of_topology dbr:Fully_T4_space dbr:Fully_normal_Hausdorff_space dbr:Fully_normal_space dbr:Countably_paracompact dbr:Countably_paracompact_space dbr:Paracompact dbr:Paracompact_Hausdorff_space dbr:Paracompact_manifold dbr:Paracompact_topological_space dbr:Paracompactness dbr:Paracompactness_criteria dbr:Subordinate_partition_of_unity
is dbp:knownFor of	dbr:Jean_Dieudonné
is foaf:primaryTopic of	wikipedia-en:Paracompact_space