A sufficient condition for maximal resolvability of topological spaces

Jerzy Bienias; Małgorzata Terepeta

Commentationes Mathematicae Universitatis Carolinae (2004)

  • Volume: 45, Issue: 1, page 139-144
  • ISSN: 0010-2628

Abstract

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We show a new theorem which is a sufficient condition for maximal resolvability of a topological space. We also discuss some relationships between various theorems about maximal resolvability.

How to cite

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Bienias, Jerzy, and Terepeta, Małgorzata. "A sufficient condition for maximal resolvability of topological spaces." Commentationes Mathematicae Universitatis Carolinae 45.1 (2004): 139-144. <http://eudml.org/doc/249369>.

@article{Bienias2004,
abstract = {We show a new theorem which is a sufficient condition for maximal resolvability of a topological space. We also discuss some relationships between various theorems about maximal resolvability.},
author = {Bienias, Jerzy, Terepeta, Małgorzata},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {maximally resolvable space; base at a point; $\pi $-base; maximally resolvable space},
language = {eng},
number = {1},
pages = {139-144},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A sufficient condition for maximal resolvability of topological spaces},
url = {http://eudml.org/doc/249369},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Bienias, Jerzy
AU - Terepeta, Małgorzata
TI - A sufficient condition for maximal resolvability of topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 1
SP - 139
EP - 144
AB - We show a new theorem which is a sufficient condition for maximal resolvability of a topological space. We also discuss some relationships between various theorems about maximal resolvability.
LA - eng
KW - maximally resolvable space; base at a point; $\pi $-base; maximally resolvable space
UR - http://eudml.org/doc/249369
ER -

References

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  1. Bella A., The density topology is extraresolvable, Atti Sem. Mat. Fis. Univ. Modena 48 (2000), 495-498. (2000) Zbl1013.54001MR1811549
  2. Ceder J.G., On maximally resolvable spaces, Fund. Math. 55 (1964), 87-93. (1964) Zbl0139.40401MR0163279
  3. Comfort W.W., Garcia-Ferreira S., Resolvability: a selective survey and some new results, Topology Appl. 74 (1996), 149-167. (1996) Zbl0866.54004MR1425934
  4. Hashimoto H., On the *-topology and its application, Fund. Math. 91 (1976), 5-10. (1976) MR0413058
  5. Hewitt E., A problem of set-theoretic topology, Duke Math. J. 10 (1943), 309-333. (1943) Zbl0060.39407MR0008692
  6. Kuratowski K., Mostowski A., Set Theory (in Polish), PWN, Warszawa, 1966. MR0514701
  7. Sierpiński W., Cardinal and Ordinal Numbers, Warszawa, 1958. MR0095787

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