Property D and pseudonormality in first countable spaces

@article{Dow2005,
abstract = {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.},
author = {Dow, Alan S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {property D; pseudonormal; first countable; Cohen model; Cohen model},
language = {eng},
number = {2},
pages = {369-372},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Property D and pseudonormality in first countable spaces},
url = {http://eudml.org/doc/249563},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Dow, Alan S.
TI - Property D and pseudonormality in first countable spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 2
SP - 369
EP - 372
AB - 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.
LA - eng
KW - property D; pseudonormal; first countable; Cohen model; Cohen model
UR - http://eudml.org/doc/249563
ER -