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strongly isocompact

Last-modified: 2010-08-20 (金) 20:37:30

Definition Edit

A topological space is said to be strongly isocompact iff every strongly relatively pseudocompact closed subset is compact.

Remark Edit

  • See isocompact.
  • The term is defined in [Blair] to mean "hyperisocompact" though the terminology used here follows [Blair-Swardson].

Reference Edit

  • R.L. Blair and M.A. Swardson, Spaces with an Oz Stone-Cech Compactification, Top. Appl., 36 (1990), 73-92.
  • R.L. Blair, Spaces in which special sets are z-embedded, Canad. J. Math. 28 (1976), 673-690.
  • P.Bacon, The compactness of countably compact spaces, Pacific J. Math., 32 (1970), 587-592.