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strongly relatively pseudocompact

Last-modified: 2010-12-28 (火) 15:53:34

Definition Edit

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 Edit

Mary Anne Swardson and Paul J. Szeptycki, When X^* is a P' space, Canad. Math. Bull. Vol. 39 (4), 1996 pp. 476-485.