hyperisocompact

Definition

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

Remark

• See isocompact and strongly isocompact.

Reference

• R.L. Blair and M.A. Swardson, Spaces with an Oz Stone-Cech Compactification, Top. Appl., 36 (1990), 73-92.
• P.Bacon, The compactness of countably compact spaces, Pacific J. Math., 32 (1970), 587-592.