Metacompact
Definition & Meaning
Part of speech adjective
Quick meaning: Metacompact is an adjective meaning (topology) Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover.
Meaning
(topology) Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover.
Related Words
Related dictionary entries include paracompact, compact, precompact, quasi-compact, quasicompact, continuous.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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