| Title:
|
Tightness and resolvability (English) |
| Author:
|
Bella, A. |
| Author:
|
Malykhin, V. I. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
177-184 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove resolvability and maximal resolvability of topological spaces having countable tightness with some additional properties. For this purpose, we introduce some new versions of countable tightness. We also construct a couple of examples of irresolvable spaces. (English) |
| Keyword:
|
resolvability |
| Keyword:
|
maximal resolvability |
| Keyword:
|
countable fan-tightness |
| Keyword:
|
weakly Fr' echet-Urysohn property |
| Keyword:
|
empty interior tightness |
| Keyword:
|
disjoint tightness |
| MSC:
|
54A10 |
| MSC:
|
54A25 |
| MSC:
|
54C05 |
| idZBL:
|
Zbl 0936.54004 |
| idMR:
|
MR1623014 |
| . |
| Date available:
|
2009-01-08T18:39:54Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118996 |
| . |
| Reference:
|
[1] Arhangel'skiĭ A.V.: Hurewicz spaces, analytic sets and fan-tightness of spaces of functions.Soviet Math. Dokl. 33 (1986), 396-399. MR 0119188 |
| Reference:
|
[2] Arhangel'skiĭA.V., Bella A.: Countable fan-tightness versus countable tightness.Comment. Math. Univ. Carolinae 37 \number 3 (1996), 565-576. Zbl 0881.54005, MR 1426921 |
| Reference:
|
[3] Comfort W.W., García-Ferreira S.: Resolvability: a selective survey and some new results.Topology Appl. 74 (1996), 1-19. MR 1425934 |
| Reference:
|
[4] van Douwen E.K.: Applications of maximal topologies.Topology Appl. 51 (1993), 125-139. Zbl 0845.54028, MR 1229708 |
| Reference:
|
[5] Hewitt E.: A problem of set-theoretic topology.Duke Math. J. 10 (1943), 309-333. Zbl 0060.39407, MR 0008692 |
| Reference:
|
[6] Malykhin V.I., Tironi G.: Weakly Fréchet-Urysohn spaces.preprint. |
| Reference:
|
[7] Pytke'ev E.G.: On maximally resolvable spaces.Proc. Steklov Institute of Mathematics (1984), 154 225-230. |
| Reference:
|
[8] Sharma P.L., Sharma S.: Resolution properties in generalized $k$-spaces.Topology Appl. 29 (1989), 61-66. MR 0944069 |
| . |
