Relative normality within the Sorgenfrei plane.
by
Aisling McCluskey
National University of Ireland, Galway
Coauthors: T.B.M. McMaster (Queen's University, Belfast)

The study of relative topological properties has received much attention in recent times due in large part to the efforts of A.V. Arhangel'skii and the Russian school. We answer a problem posed by Arhangel'skii concerning relative normality within the Sorgenfrei plane X: if Y is a countable dense subset of X, is X normal on Y?

Date received: June 14, 2001