| Title:
|
Splitting $\omega$-covers (English) |
| Author:
|
Just, Winfried |
| Author:
|
Tanner, Andreas |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
375-378 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The authors give a ZFC example for a space with $\text{\it Split}\kern 0.8pt (\Omega , \Omega )$ but not $\text{\it Split}\kern 0.8pt (\Lambda , \Lambda )$. (English) |
| Keyword:
|
$\omega$-cover |
| Keyword:
|
$\lambda$-cover |
| Keyword:
|
$\text{\it Split}\kern 0.8pt(\Omega, \Omega)$ |
| Keyword:
|
$\text{\it Split}\kern 0.8pt(\Lambda, \Lambda)$ |
| Keyword:
|
ultrafilter |
| MSC:
|
03E05 |
| MSC:
|
03E35 |
| MSC:
|
04A20 |
| MSC:
|
54A25 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 0887.04001 |
| idMR:
|
MR1455505 |
| . |
| Date available:
|
2009-01-08T18:31:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118936 |
| . |
| Reference:
|
[1] Just W., Miller A., Scheepers M., Szeptycki P.: The combinatorics of open covers.Topology and its Applications, to appear. Zbl 0870.03021 |
| Reference:
|
[2] Moschovakis Y.N.: Descriptive Set Theory.North Holland, 1980. MR 0561709 |
| Reference:
|
[3] Bartoszyński T., Judah H.: Set Theory.A.K. Peters, 1995. MR 1350295 |
| Reference:
|
[4] Blass A.: A model without ultrafilters.Bull. Acad. Polon. Sci. 25 (1977), 4 329-331. Zbl 0365.02054, MR 0476510 |
| . |
