Cardinal inequalities implying maximal resolvability
Marek Balcerzak; Tomasz Natkaniec; Małgorzata Terepeta
Commentationes Mathematicae Universitatis Carolinae (2005)
- Volume: 46, Issue: 1, page 85-91
- ISSN: 0010-2628
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topBalcerzak, Marek, Natkaniec, Tomasz, and Terepeta, Małgorzata. "Cardinal inequalities implying maximal resolvability." Commentationes Mathematicae Universitatis Carolinae 46.1 (2005): 85-91. <http://eudml.org/doc/249554>.
@article{Balcerzak2005,
abstract = {We compare several conditions sufficient for maximal resolvability of topological 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.},
author = {Balcerzak, Marek, Natkaniec, Tomasz, Terepeta, Małgorzata},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {maximally resolvable space; base at a point; $\pi $-base; $\pi $-character; maximally resolvable space; base at a point; -base},
language = {eng},
number = {1},
pages = {85-91},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Cardinal inequalities implying maximal resolvability},
url = {http://eudml.org/doc/249554},
volume = {46},
year = {2005},
}
TY - JOUR
AU - Balcerzak, Marek
AU - Natkaniec, Tomasz
AU - Terepeta, Małgorzata
TI - Cardinal inequalities implying maximal resolvability
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 1
SP - 85
EP - 91
AB - We compare several conditions sufficient for maximal resolvability of topological 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.
LA - eng
KW - maximally resolvable space; base at a point; $\pi $-base; $\pi $-character; maximally resolvable space; base at a point; -base
UR - http://eudml.org/doc/249554
ER -
References
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