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strongly pseudocompact

Last-modified: 2010-08-20 (金) 20:17:58

Definition Edit

Let X be a topological space and Y be its subspace. Y is called strongly pseudocompact in X iff every family R of open sets in X and intersecting Y that is locally finite at all points of Y is finite.

Remark Edit

  • It is not a property for topological spaces, but subspaces.
  • See pseudocompact

Reference Edit

A.V. Arkhangelskii and Khamdi(Hamdi) M.M. Genedi, Properties of placement type: Relative strong pseudocompactness, Proc. Steklov Inst. Math. 1993, Issue 3.