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Separable normal manifolds and the cardinal b
by
Peter J. Nyikos
University of South Carolina, Columbia, SC
The cardinal b represents a kind of break-even point, with the axiom b = \omega1 and the axiom b > \omega1 both being quite useful. This talk gives a pair of separable normal nonmetrizable manifolds whose construction depends in part on what the value of b is. If it is \omega1 then we seem to actually need to make use of a family of \omega1 functions which are unbounded in the eventual domination order. But if b > \omega1, then normality takes care of itself, thanks to a generalization of a result of Eric van Douwen on pseudonormality of first countable regular spaces of cardinality < b.
Date received: July 2, 1997
Copyright © 1997 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 # caao-78.