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- Mesocompact_space 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.↑ ↑".
- Mesocompact_space wikiPageID "5075834".
- Mesocompact_space wikiPageRevisionID "544373876".
- Mesocompact_space hasPhotoCollection Mesocompact_space.
- Mesocompact_space subject Category:Compactness_(mathematics).
- Mesocompact_space subject Category:Properties_of_topological_spaces.
- Mesocompact_space type Abstraction100002137.
- Mesocompact_space type Possession100032613.
- Mesocompact_space type PropertiesOfTopologicalSpaces.
- Mesocompact_space type Property113244109.
- Mesocompact_space type Relation100031921.
- Mesocompact_space 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: Every compact space, and more generally every paracompact space is mesocompact.".
- Mesocompact_space label "Mesocompact space".
- Mesocompact_space sameAs 메조콤팩트_공간.
- Mesocompact_space sameAs m.0d1m9s.
- Mesocompact_space sameAs Q6821442.
- Mesocompact_space sameAs Q6821442.
- Mesocompact_space sameAs Mesocompact_space.
- Mesocompact_space wasDerivedFrom Mesocompact_space?oldid=544373876.
- Mesocompact_space isPrimaryTopicOf Mesocompact_space.