Definition of Metacompact. Meaning of Metacompact. Synonyms of Metacompact

- 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...
- 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...
- and pseudocompact, but neither weakly countably compact nor countably metacompact, hence not compact. Cofinite topology List of topologies Steen, Lynn...
- (or equivalently that every open cover has a countable refinement); metacompact: if every open cover has a point-finite open refinement; and paracompact:...
- 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...
- only finitely many members of U . {\displaystyle {\mathcal {U}}.} A metacompact space is a topological space in which every open cover admits a point-finite...
- 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...