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An uncountable power of the real line can be normal on a countable dense set
by
Vladimir Tkachuk
Universidad Autonoma Metropolitana de Mexico
Coauthors: M.Tkachenko, R.Wilson, I.Yaschenko
A space X is called normal on a subset Y if any pair F and G of closed subsets of X with [`(F \cap Y)]=F and [`(G \cap Y)]=G, can be separated by open sets in X. We show that, under CH, the space Rc is normal on a countable dense subset. We also construct a Tychonoff separable space which is not normal on any countable dense subset.
Date received: February 1, 2001
Copyright © 2001 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 # cagh-31.