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Property D and pseudonormality in first countable spaces. (English) Zbl 1121.54015

Summary: In answer to a question of M.Reed, E.van Douwen and M.Wage [Fundam.Math.103, 103–110 (1979; Zbl 0425.54013)] constructed an example of a Moore space which had property D but was not pseudonormal. Their construction used the Martin’s Axiom type principle \(P(c)\). We show that there is no such space in the usual Cohen model of the failure of CH.

MSC:

54A35 Consistency and independence results in general topology
54E30 Moore spaces

Keywords:

Cohen model

Citations:

Zbl 0425.54013
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