Geodesic
Countably metacompact spaces in the constructible universe
Paul J. Szeptycki1
1 Department of Mathematics University of Toronto Toronto, Ontario Canada M5S 2M3
Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 221-230

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a $G_δ$. In addition some nonperfect spaces with σ-disjoint bases are constructed.
DOI : 10.4064/fm-143-3-221-230
Keywords: countably metacompact, $G_δ$, ♢*

Paul J. Szeptycki 1

1 Department of Mathematics University of Toronto Toronto, Ontario Canada M5S 2M3 
@article{10_4064_fm_143_3_221_230,
     author = {Paul J. Szeptycki},
     title = {Countably metacompact spaces in the constructible universe},
     journal = {Fundamenta Mathematicae},
     pages = {221--230},
     publisher = {mathdoc},
     volume = {143},
     number = {3},
     year = {1993},
     doi = {10.4064/fm-143-3-221-230},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-221-230/}
}
TY  - JOUR
AU  - Paul J. Szeptycki
TI  - Countably metacompact spaces in the constructible universe
JO  - Fundamenta Mathematicae
PY  - 1993
SP  - 221
EP  - 230
VL  - 143
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-221-230/
DO  - 10.4064/fm-143-3-221-230
LA  - en
ID  - 10_4064_fm_143_3_221_230
ER  - 
%0 Journal Article
%A Paul J. Szeptycki
%T Countably metacompact spaces in the constructible universe
%J Fundamenta Mathematicae
%D 1993
%P 221-230
%V 143
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-221-230/
%R 10.4064/fm-143-3-221-230
%G en
%F 10_4064_fm_143_3_221_230
Paul J. Szeptycki. Countably metacompact spaces in the constructible universe. Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 221-230. doi: 10.4064/fm-143-3-221-230

Cité par Sources :