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Metacompact space

In the mathematical field of general topology, a topological space is said to be metacompact if every open cover has a point-finite open refinement. That is, given any open cover of the topological space, there is a refinement that is again an open cover with the property that every point is contained only in finitely many sets of the refining cover.

Properties, Covering dimension & Overview

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Properties

Covering dimension

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Map overview Semantic statistics

Metacompact space

Nodes23
Edges22
Triples32
Avg. degree1.91
Density0.086957
Components1

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Metacompact space

Top relations

related to References · 23
Metacompact space → Amer, Arthur Jr, Berlin, Counterexamples, Dover, ISBN, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Lynn Arthur, Math, MR, New York, Proc, Pseudocompact, Seebach, Soc, Springer-Verlag, Steen, Stephen
related to Properties · 9
Metacompact space → An, Dieudonné, Every, In, Moore, The, This, Tychonoff, Watson

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Important terminology

space metacompact every refinement open cover topological point-finite compact said pseudocompact covering dimension topology point sets countably properties see mathematical

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Metacompact spacerelated to PropertiesThe0.60section
Metacompact spacerelated to PropertiesEvery0.60section
Metacompact spacerelated to PropertiesThis0.60section
Metacompact spacerelated to PropertiesDieudonné0.60section
Metacompact spacerelated to PropertiesAn0.60section
Metacompact spacerelated to PropertiesMoore0.60section
Metacompact spacerelated to PropertiesIn0.60section
Metacompact spacerelated to PropertiesTychonoff0.60section
Metacompact spacerelated to PropertiesWatson0.60section
Metacompact spacerelated to ReferencesLock-green0.60section
Metacompact spacerelated to ReferencesLock-gray-alt-20.60section
Metacompact spacerelated to ReferencesLock-red-alt-20.60section

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    Min side: 3
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