isocompact

Definition

A topological space is called isocompact if every countably compact closed subset is compact.

Property

• [Swardson,Szeptycki] hyperisocompact implies strongly isocompact implies isocompact.

Reference

• Kuo-Shih Kao and Li-Sheng Wu, Mapping theorems on metacompact spaces, Proc. Amer. Math. Soc. Vol.89(2) (1983).
• Mary Anne Swardson and Paul J. Szeptycki, When X^* is a P' space, Canad. Math. Bull. Vol. 39 (4), 1996 pp. 476-485.