| Title:
|
On the Noetherian type of topological spaces (English) |
| Author:
|
Peregudov, S. A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
581-586 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Noetherian type of topological spaces is introduced. Connections between the Noetherian type and other cardinal functions of topological spaces are obtained. (English) |
| Keyword:
|
Noetherian type |
| Keyword:
|
rank weight |
| MSC:
|
54A25 |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 0937.54003 |
| idMR:
|
MR1485079 |
| . |
| Date available:
|
2009-01-08T18:36:26Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118956 |
| . |
| Reference:
|
[1] Arhangel'skii A.V.: On bicompacta hereditarily satisfying the Souslin condition. Tightness and free sequences.Soviet Math. Dokl. 12 (1971), 1253-1257. MR 0119188 |
| Reference:
|
[2] Bir'ukov P.A.: Ranks of families of sets and properties of topological spaces (in Russian).DAN SSSR 4[257] (1981), 777-779. MR 0612564 |
| Reference:
|
[3] Gruenhage G., Nyikos P.: Spaces with bases of countable rank.Gen.Top. and Appl. 8 (1978), 233-257. Zbl 0412.54034, MR 0494007 |
| Reference:
|
[4] Malyhin V.I.: On Noetherian spaces (in Russian).Seminar of Gen. Topology, Moscow University, 1981 pp.51-58. |
| Reference:
|
[5] Peregudov S.A.: On $\sqcap$-uniform bases and $\pi$-bases.Soviet Math. Dokl. 17 (1976), 1055-1059. |
| Reference:
|
[6] Peregudov S.A., Shapirovskii B.E.: A class of compact spaces.Soviet Math. Dokl. 17 (1976), 1296-1300. |
| Reference:
|
[7] Shapirovskii B.E.: On $\pi$-character and $\pi$-weight of bicompact (in Russian).DAN SSSR 4[223] (1975), 799-802. MR 0410632 |
| . |
