# 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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