metacompact

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adjective

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.

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Meanings

adjectivemetacompact (not comparable)
  1. not comparablemathematicsOf 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.

Origin

From meta- + compact.

Full word history & related roots →
Cite this entry
APA

metacompact. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/metacompact

MLA

“metacompact.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/metacompact. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “metacompact,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/metacompact.

Source: metacompact on Wiktionary, CC BY-SA 4.0.