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On a Machine of Wage and b-normal spaces
by
Ted Porter
Murray State University
Coauthors: Peter Nyikos
A space X is b-normal if for any two disjoint closed subsets A and B of X there exist open subsets U and V of X such that AÇU is dense in A, BÇV is dense in B, and cl(U)Çcl(V)=Æ. There are only a few known b-normal non-normal spaces, only one of which is constructed in ZFC. We will show how a machine of M. Wage can be used to produce b-normal non-normal spaces in ZFC and b-normal non-normal Moore spaces under stronger axioms such as the continuum hypothesis.
Date received: February 27, 2005
Copyright © 2005 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 # capc-58.