*Definition [#v7eb0092]
A subset A of a topological space X is called strongly pseudocompact in X iff for every [[cozero set]] neighborhood P of A, every continuous function on P is bounded on A.
*Reference [#beb57b31]
Mary Anne Swardson and Paul J. Szeptycki, ''When X^* is a P' space'', Canad. Math. Bull. Vol. 39 (4), 1996 pp. 476-485.