Further results on \alpha-normal and \beta-normal
by
Lew Ludwig
Ohio University

(Arhangel'skii 1998) A space X is called \alpha-normal if for any two disjoint closed subsets A and B of X, there exists disjoint open subsets U and V of X such that A\capU is dense in A and B\capV is dense in B.

A space X is called \beta-normal if for any two disjoint closed subsets A and B of X, there exists open subsets U and V of X such that A\capU is dense in A, B\capV is dense in B, and the closure of U and the closure of V in X have empty intersection.

We strengthen results of M. Wage and T. Przymusinski via these definitions.

Several examples will be explored and open questions posed.

Date received: June 29, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeu-56.