| Title:
|
No upper bound for cardinalities of Tychonoff C.C.C. spaces with a $G_\delta$-diagonal exists (an answer to J. Ginsburg and R. G. Woods' question) (English) |
| Author:
|
Shakhmatov, Dmitriĭ B. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1984 |
| Pages:
|
731-746 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54A25 |
| MSC:
|
54C25 |
| idZBL:
|
Zbl 0572.54003 |
| idMR:
|
MR782022 |
| . |
| Date available:
|
2008-06-05T21:19:58Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106339 |
| . |
| Reference:
|
[1] GINSBUBG J., WOODS R. G.: A cardinal inequality for topological spaces involving closed discrete sets.- Proc. Amer. Math. Soc., 1977, t. 64, N 2, p. 357-360. MR 0461407 |
| Reference:
|
[2] APХАНГЕЛЬСКИЙ A. B.: Стройенийе и класификация топологицеских пространств и кардинальные инварианты.- Уcпехи Матем. Наук 33, 6 (1978), 29-84. (Arhangel'skii A. V. A structure of spaces, their classification and cardinal invariants - Soviet math. Surveys, 1978, v. 33, N 6, p. 29-84). MR 0526012 |
| Reference:
|
[3] ENGELKING R.: General topology.- Warszawa, PWN, 1977. Zbl 0373.54002, MR 0500780 |
| Reference:
|
[4] ЦЕЙТЛИН M. Я.: Об одной задаче А. В. Архангельского.B сборнике Топология и теория множеств, Удмуртский госыдарственный университет. Ижевск 1982, с. 8-11 (Zeitlin M. J. On a question of A. V. Arhangel'skii. In: Topology and Theory of sets, University of the Udmurt Republic. Ishevsk, USSR, 1982, p. 8-11). Zbl 1171.03330 |
| Reference:
|
[5] ШAXMATOB Д. Б.: О псевдокомпактныцч пространствах с точечно счотной базой.- Доклады AH CCCP, 1964 [в печати] (Shakhmatov D. B. On pseudocompact spaces with a point-countable base, to appear in Soviet Math. Dokl.). |
| Reference:
|
[6] CEDER J. G.: Some generalisations of metric spaces.- Pacific J. Math., 1961, t. 11, N 1, p. 105-125. MR 0131860 |
| Reference:
|
[7] HAJNAL A., JUHÁSZ I.: Discrete subspaces of topological spaces.- Indag. Math., 1967, v. 29, p. 343-356. MR 0229195 |
| Reference:
|
[8] TERADA T.: Dense subspaces of topological spaces.(to appear in Canadian Math. J.).- Zentralblatt für Mathematik, 1983, B. 507, abstract 54005. MR 0738839 |
| Reference:
|
[9] USPENSKII V. V.: A large $P_\sigma $-discrete Fréchet space having the Souslin property.- Comment. Math. Univ. Carolinae 25 (1984), 257-260. MR 0768812 |
| . |
