*Definition [#l50fd8a1] A topological space is called isocompact if every [[countably compact]] closed subset is [[compact]]. *Property [#d154cd17] -[Swardson,Szeptycki] [[hyperisocompact]] implies [[strongly isocompact]] implies [[isocompact]]. *Reference [#fdc28445] -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.