About: Mesocompact space

An Entity of Type: WikicatPropertiesOfTopologicalSpaces, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org:8891

In mathematics, in the field of general topology, a topological space is said to be mesocompact if every open cover has a compact-finite open refinement. That is, given any open cover, we can find an open refinement with the property that every compact set meets only finitely many members of the refinement. The following facts are true about mesocompactness:

Property Value
dbo:abstract
  • In mathematics, in the field of general topology, a topological space is said to be mesocompact if every open cover has a compact-finite open refinement. That is, given any open cover, we can find an open refinement with the property that every compact set meets only finitely many members of the refinement. The following facts are true about mesocompactness: * Every compact space, and more generally every paracompact space is mesocompact. This follows from the fact that any locally finite cover is automatically compact-finite. * Every mesocompact space is metacompact, and hence also orthocompact. This follows from the fact that points are compact, and hence any compact-finite cover is automatically point finite. (en)
dbo:wikiPageID
  • 5075834 (xsd:integer)
dbo:wikiPageLength
  • 1357 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1029863719 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • In mathematics, in the field of general topology, a topological space is said to be mesocompact if every open cover has a compact-finite open refinement. That is, given any open cover, we can find an open refinement with the property that every compact set meets only finitely many members of the refinement. The following facts are true about mesocompactness: (en)
rdfs:label
  • 메조콤팩트 공간 (ko)
  • Mesocompact space (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License