| Title:
|
Cardinal invariants and compactifications (English) |
| Author:
|
Gryzlov, A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
403-408 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace of cardinality at most $d(X)^{t(X)}$, and some facts about cardinal invariants of compact spaces. (English) |
| Keyword:
|
Čech-Stone compactification |
| Keyword:
|
cardinal invariants |
| MSC:
|
54A25 |
| MSC:
|
54D35 |
| idZBL:
|
Zbl 0807.54005 |
| idMR:
|
MR1286587 |
| . |
| Date available:
|
2009-01-08T18:11:57Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118679 |
| . |
| Reference:
|
[1] Fedorchuk V.V.: Vpolne zamknutye otobrazhenija.Matem. sbornik 99:1 (1976), 3-33. |
| Reference:
|
[2] Arhangelskii A.V.: Stroenie i klassifikacija topologicheskich prostranstv i kardinalnye invarianty.Uspekhi mat. nauk 33:6 (1978), 29-84. MR 0526012 |
| Reference:
|
[3] Pasynkov B.A.: O teoreme E. Čecha.Vest. MGU 6 (1979), 54-57. MR 0561409 |
| Reference:
|
[4] Gryzlov A.A.: On cardinal invariants of compact spaces.Abstr. Baku Intern. Top. Conf., 1987, p. 89. |
| Reference:
|
[5] Šapirovskii B.E.: O vlozhenii ekstremalno-normalnyh prostranstv v bikompakty.Dokl. Akad. Nauk SSSR 223:5 (1975), 1083-1086. MR 0394609 |
| Reference:
|
[6] Šapirovskii B.E.: O nasledstvenno normalnykh prostranstvah.Abstr. VII Vses. Top. Conf. Minsk, 1977, p. 204. |
| Reference:
|
[7] Arhangelskii A.V.: O moschnosti bikompaktov s pervoi aksiomoi schetnosti.Dokl. Akad. Nauk SSSR 187 (1969), 967-970. MR 0251695 |
| . |
