Word.ws English Dictionary

metacompact

metacompact 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.

Adjective

metacompact (not comparable)

  1. 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.

Origin of metacompact

From meta- + compact.

Words formed from metacompact

Questions about metacompact

What does metacompact mean?
Metacompact means 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.
What part of speech is metacompact?
Metacompact is an adjective.

Words near metacompact in the dictionary

  1. metacommunication
  2. metacommunications
  3. metacommunicative
  4. metacommunities
  5. metacommunity
  6. metacompact
  7. metacompactness
  8. metacompilation
  9. metacompiler
  10. metacompilers
  11. metacomplex

Source and license

Adapted from Wiktionary: metacompact (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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