| Title:
|
Structure resolvability (English) |
| Author:
|
Jiménez, R. |
| Author:
|
Malykhin, V. I. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
379-387 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability. (English) |
| Keyword:
|
resolvability |
| Keyword:
|
irresolvability |
| Keyword:
|
structure resolvability |
| Keyword:
|
Borel resolvability |
| MSC:
|
03E35 |
| MSC:
|
54A25 |
| MSC:
|
54A35 |
| MSC:
|
54A99 |
| idZBL:
|
Zbl 0936.54016 |
| idMR:
|
MR1651983 |
| . |
| Date available:
|
2009-01-08T18:41:17Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119015 |
| . |
| Reference:
|
[1] Hewitt E.: A problem of set-theoretic topology.Duke Math. J. 10 (1943), 309-333. Zbl 0060.39407, MR 0008692 |
| Reference:
|
[2] El'kin A.G.: Resolvable spaces which are not maximally resolvable.Vestnik Moskov. Univ. Ser. 1 Mat. Meh. 24 (1969), 66-70. Zbl 0183.51204, MR 0256331 |
| Reference:
|
[3] Illanes A.: Finite and $ømega$-resolvability.Proc. Amer. Math. Soc. (1996), 124 1243-1246. Zbl 0856.54010, MR 1327020 |
| Reference:
|
[4] Comfort W.W., Garcia-Ferreira S.: Resolvability: a selective survey and some new results.Topology Appl. (1996), 74 149-167. Zbl 0866.54004, MR 1425934 |
| Reference:
|
[5] Comfort W.W., van Mill J.: Groups with only resolvable group topologies.Proc. Amer. Math. Soc. (1994), 120 687-696. Zbl 0820.22001, MR 1209097 |
| Reference:
|
[6] Malykhin V.I.: Maximal resolvability of bounded groups.to appear in Russian in Mat. Zametki. Zbl 0866.54032 |
| Reference:
|
[7] Kuratowski K.: General Topology.Academic Press, New York (1966). MR 0217751 |
| Reference:
|
[8] Malykhin V.I.: Extremally disconnected and nearly extremally disconnected groups.Soviet Math. Dokl. 16 (1975), 21-25. |
| Reference:
|
[9] Katětov M.: On topological spaces containing no disjoint dense sets.Mat. Sb. 21 (63) (1947), 3-12. MR 0021679 |
| Reference:
|
[10] Ceder J.: On maximally Borel resolvable spaces.Revue Roumaine de Mathematiques Pures and Appl. 11 (1966), 89-94. Zbl 0158.41501, MR 0206900 |
| Reference:
|
[11] Comfort W.W., Li Feng: The union of resolvable spaces is resolvable.Math. Japonica 38 (1993), 413-414. Zbl 0769.54002, MR 1221007 |
| Reference:
|
[12] Efimov B.A.: Dyadic compacta (in Russian).Trudy Moscow Math. Soc. 14 (1965), 211-247. MR 0202105 |
| . |
