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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_2005__46_2_a10,
     author = {Dow, Alan},
     title = {Property {D} and pseudonormality in first countable spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {369--372},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2005},
     mrnumber = {2176898},
     zbl = {1121.54015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2005__46_2_a10/}
}
TY  - JOUR
AU  - Dow, Alan
TI  - Property D and pseudonormality in first countable spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2005
SP  - 369
EP  - 372
VL  - 46
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2005__46_2_a10/
LA  - en
ID  - CMUC_2005__46_2_a10
ER  - 
%0 Journal Article
%A Dow, Alan
%T Property D and pseudonormality in first countable spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 2005
%P 369-372
%V 46
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2005__46_2_a10/
%G en
%F CMUC_2005__46_2_a10
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/