Definition of Orthocompact. Meaning of Orthocompact. Synonyms of Orthocompact

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

Definition of Orthocompact

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Meaning of Orthocompact from wikipedia

- in the field of general topology, a topological space is said to be orthocompact if every open cover has an interior-preserving open refinement. That...
- metacompact if every open cover has an open point-finite refinement. orthocompact if every open cover has an open refinement such that the intersection...
- complete. Compact space Locally compact space Measure of non-compactness Orthocompact space Paracompact space Relatively compact subspace Sutherland 1975,...
- compact sets Lindelöf space Metacompact space Noetherian topological space Orthocompact space Paracompact space Quasi-compact morphism Precompact set - also...
- and says that "strict inequality is an open condition". Orthocompact A space is orthocompact, if every open cover has an interior-preserving open refinement...
- compact, countably compact, paracompact nor metacompact (although it is orthocompact). However, since X is hyperconnected, it is pseudocompact. This shows...
- a counter-example is the Dieudonné plank. Every metacompact space is orthocompact. Every metacompact normal space is a shrinking space The product of a...
- compact-finite. Every mesocompact space is metacompact, and hence also orthocompact. This follows from the fact that points are compact, and hence any compact-finite...