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Miklos Schweitzer 1980_10

Source: T_3-space X and covering by at most continuum many nowhere-dense sets

January 28, 2009
topology

Problem Statement

Suppose that the T3 T_3-space X X has no isolated points and that in X X any family of pairwise disjoint, nonempty, open sets is countable. Prove that X X can be covered by at most continuum many nowhere-dense sets. I. Juhasz
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