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p-pseudocompact

Last-modified: 2010-09-03 (金) 00:52:23

Definition Edit

p is a free ultrafilter on ω, the set of natural numbers.
A space is called p-pseudocompact iff every sequence of nonempty open sets has a p-limit point.

Property Edit

Remark Edit

  • For the definition of p-limit, see p-compact.
  • For a subspace Y in X, if every sequence of nonempty open subsets in X which meet Y has a p-limit point, it is called p-bounded in X.

Reference Edit

Manuel Sanchis and Angel Tamariz-Mascarua, p-pseudocompactness and related topics in topological spaces, Topology and its Applications 98 (1999) 323-343.