Перевод: со всех языков на все языки

со всех языков на все языки

countably metacompact space

См. также в других словарях:

  • Metacompact space — In mathematics, in the 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 any open cover of the topological space, there is a refinement which is again… …   Wikipedia

  • Paracompact space — In mathematics, a paracompact space is a topological space in which every open cover admits a locally finite open refinement. Paracompact spaces are sometimes also required to be Hausdorff. Paracompact spaces were introduced by Dieudonné (1944).… …   Wikipedia

  • Orthocompact space — In mathematics, 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 is, given an open cover of the topological space, there is a refinement which is …   Wikipedia

  • Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …   Wikipedia

  • Dowker space — A Dowker space is a topological space that is T4 but not countably paracompact. Equivalences If X is a normal T1 space (a T4 space), then the following are equivalent: X is a Dowker space The product of X with the unit interval is not normal. C.… …   Wikipedia

  • Shrinking space — In mathematics, in the field of topology, a topological space is said to be a shrinking space if every open cover admits a shrinking. A shrinking of an open cover is another open cover indexed by the same indexing set, with the property that the… …   Wikipedia

  • Pseudocompact space — In mathematics, in the field of topology, a topological space is said to be pseudocompact if its image under any continuous function to R is bounded.Conditions for pseudocompactness*Every countably compact space is pseudocompact. For normal… …   Wikipedia

  • Moore plane — In mathematics, the Moore plane, also sometimes called Niemytzki plane (or Nemytskii plane, Nemytskii s tangent disk topology) is a topological space. It is a completely regular Hausdorff space (also called Tychonoff space) which is not normal.… …   Wikipedia

  • Locally finite collection — In the mathematical field of topology, local finiteness is a property of collections of subsets of a topological space. It is fundamental in the study of paracompactness and topological dimension. A collection of subsets of a topological space X… …   Wikipedia

Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»