strongly locally pseudocompact

Definition

A space X is said to be strongly locally pseudocompact or SLP if there is a dense subset D in X such that, for all x in X, there is a closed neighborhood U of x such that the intersection of D and U is relatively countably compact in U.

Reference

S. Watson, A connected pseudocompact space, Topology and its Applications 57 (1994) 151-162.