| Title:
|
The sizes of relatively compact $T_1$-spaces (English) |
| Author:
|
Just, Winfried |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
379-380 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The relativization of Gryzlov's theorem about the size of compact $T_1$-spaces with countable pseudocharacter is false. (English) |
| Keyword:
|
relatively compact |
| Keyword:
|
relatively Lindelöf |
| Keyword:
|
$T_1$-space |
| Keyword:
|
measurable cardinal |
| MSC:
|
54A25 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 0847.54024 |
| idMR:
|
MR1399009 |
| . |
| Date available:
|
2009-01-08T18:24:12Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118839 |
| . |
| Reference:
|
[A] Arhangel'skii A.V.: A generic theorem in the theory of cardinal invariants of topological spaces.Comment. Math. Univ. Carolinae 36.2 (1995), 303-325. MR 1357532 |
| Reference:
|
[AC] Antonovskii M.Y., Chudnovskii D.V.: Some questions of general topology and Tikhonov semifields II.Russian Math. Surveys 31.3 (1976), 69-128. |
| Reference:
|
[G] Gryzlov A.A.: Two theorems on the cardinality of topological spaces.Soviet Math. Dokl. 21.2 (1980), 506-509. Zbl 0449.54005, MR 0568530 |
| Reference:
|
[R] Ranchin D.V.: On compactness modulo an ideal.Soviet Math. Dokl. 13.1 (1972), 193-197. |
| . |
