Geodesic
Property D and pseudonormality in first countable spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 2, pp. 369-372

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In answer to a question of M. Reed, E. van Douwen and M. Wage [vDW79] 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.
Classification : 03E35, 03E75, 54A35, 54E30
Keywords: property D; pseudonormal; first countable; Cohen model 
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     title = {Property {D} and pseudonormality in first countable spaces},
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Dow, Alan. Property D and pseudonormality in first countable spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 2, pp. 369-372. http://geodesic.mathdoc.fr/item/CMUC_2005__46_2_a10/