Applications of B(P,\(\alpha\) )-refinability for generalized collectionwise normal spaces (Q915183)

In the paper announced above the authors introduced the notion of B(P,\(\alpha\))-refinability and used it to obtain new covering characterizations for normal and collectionwise normal spaces. We generalize various known results by obtaining analogous characterizations for collectionwise subnormal and strong-collectionwise subnormal spaces. The properties considered in this paper will be discrete, locally finite closure-preserving, hereditarily closure-preserving and point finite.