strongly isocompact

Definition

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

Remark

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

Reference

• 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.