Definition of Metacompact. Meaning of Metacompact. Synonyms of Metacompact

Here you will find one or more explanations in English for the word Metacompact. Also in the bottom left of the page several parts of wikipedia pages related to the word Metacompact and, of course, Metacompact synonyms and on the right images related to the word Metacompact.

Definition of Metacompact

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Meaning of Metacompact from wikipedia

- 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...
- a compact space is paracompact. The product of a metacompact space and a compact space is metacompact. Both these results can be proved by the tube lemma...
- and pseudocompact, but neither weakly countably compact nor countably metacompact, hence not compact. Cofinite topology List of topologies Steen, Lynn...
- definitions of paracompact space and metacompact space, and this is the reason why every paracompact space is metacompact. If a collection of sets is locally...
- (or equivalently that every open cover has a countable refinement); Metacompact if every open cover has a point-finite open refinement; Paracompact if...
- Carathéodory's extension theorem Geometric set cover problem Dimension theory Metacompact space Point-finite collection Lebesgue, Henri (1921). "Sur les correspondances...
- sets. If A is not meagre in X, A is of second category in X. Metacompact A space is metacompact if every open cover has a point finite open refinement. Metric...
- neither compact, sequentially compact, countably compact, paracompact nor metacompact (although it is orthocompact). However, since X is hyperconnected, it...
- theorem Eberlein compactum Exhaustion by compact sets Lindelöf space Metacompact space Noetherian topological space Orthocompact space Paracompact space...
- plane is not locally compact. The Moore plane is countably metacompact but not metacompact. The fact that this space Γ {\displaystyle \Gamma } is not...