| Title:
|
A sufficient condition for maximal resolvability of topological spaces (English) |
| Author:
|
Bienias, Jerzy |
| Author:
|
Terepeta, Małgorzata |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
139-144 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
maximally resolvable space |
| Keyword:
|
base at a point |
| Keyword:
|
$\pi$-base |
| MSC:
|
54A10 |
| MSC:
|
54A25 |
| idZBL:
|
Zbl 1100.54003 |
| idMR:
|
MR2076865 |
| . |
| Date available:
|
2009-05-05T16:43:49Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119442 |
| . |
| Reference:
|
[B] Bella A.: The density topology is extraresolvable.Atti Sem. Mat. Fis. Univ. Modena 48 (2000), 495-498. Zbl 1013.54001, MR 1811549 |
| Reference:
|
[C] Ceder J.G.: On maximally resolvable spaces.Fund. Math. 55 (1964), 87-93. Zbl 0139.40401, MR 0163279 |
| Reference:
|
[CGF] Comfort W.W., Garcia-Ferreira S.: Resolvability: a selective survey and some new results.Topology Appl. 74 (1996), 149-167. Zbl 0866.54004, MR 1425934 |
| Reference:
|
[Ha] Hashimoto H.: On the *-topology and its application.Fund. Math. 91 (1976), 5-10. MR 0413058 |
| Reference:
|
[H] Hewitt E.: A problem of set-theoretic topology.Duke Math. J. 10 (1943), 309-333. Zbl 0060.39407, MR 0008692 |
| Reference:
|
[KM] Kuratowski K., Mostowski A.: Set Theory (in Polish).PWN, Warszawa, 1966. MR 0514701 |
| Reference:
|
[S] Sierpiński W.: Cardinal and Ordinal Numbers.Warszawa, 1958. MR 0095787 |
| . |
