Geodesic
Cardinal inequalities implying maximal resolvability
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 85-91

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

We compare several conditions sufficient for maximal resolvability of topo\-lo\-gi\-cal spaces. We prove that a space $X$ is maximally resolvable provided that for a dense set $X_0\subset X$ and for each $x\in X_0$ the $\pi$-character of $X$ at $x$ is not greater than the dispersion character of $X$. On the other hand, we show that this implication is not reversible even in the class of card-homogeneous spaces.
Classification : 54A10, 54A25
Keywords: maximally resolvable space; base at a point; $\pi$-base; $\pi$-character 
@article{CMUC_2005__46_1_a7,
     author = {Balcerzak, Marek and Natkaniec, Tomasz and Terepeta, Ma{\l}gorzata},
     title = {Cardinal inequalities implying maximal resolvability},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {85--91},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2005},
     mrnumber = {2175861},
     zbl = {1121.54008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2005__46_1_a7/}
}
TY  - JOUR
AU  - Balcerzak, Marek
AU  - Natkaniec, Tomasz
AU  - Terepeta, Małgorzata
TI  - Cardinal inequalities implying maximal resolvability
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2005
SP  - 85
EP  - 91
VL  - 46
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2005__46_1_a7/
LA  - en
ID  - CMUC_2005__46_1_a7
ER  - 
%0 Journal Article
%A Balcerzak, Marek
%A Natkaniec, Tomasz
%A Terepeta, Małgorzata
%T Cardinal inequalities implying maximal resolvability
%J Commentationes Mathematicae Universitatis Carolinae
%D 2005
%P 85-91
%V 46
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2005__46_1_a7/
%G en
%F CMUC_2005__46_1_a7
Balcerzak, Marek; Natkaniec, Tomasz; Terepeta, Małgorzata. Cardinal inequalities implying maximal resolvability. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 85-91. http://geodesic.mathdoc.fr/item/CMUC_2005__46_1_a7/