| Title:
|
On the existence of a $\sigma $-closed dense subset (English) |
| Author:
|
Zapletal, Jindřich |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2010 |
| Pages:
|
513-517 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is consistent with the axioms of set theory that there are two co-dense partial orders, one of them $\sigma $-closed and the other one without a $\sigma $-closed dense subset. (English) |
| Keyword:
|
forcing |
| Keyword:
|
sigma-closed dense subset |
| MSC:
|
03E40 |
| idZBL:
|
Zbl 1224.03029 |
| idMR:
|
MR2741884 |
| . |
| Date available:
|
2010-09-02T14:21:36Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140727 |
| . |
| Reference:
|
[1] Foreman M.: Games played on Boolean algebras.J. Symbolic Logic 48 (1983), 714–723. Zbl 0536.03033, MR 0716633, 10.2307/2273464 |
| Reference:
|
[2] Jech T.: Set Theory.Academic Press, San Diego, 1978. Zbl 1007.03002, MR 0506523 |
| Reference:
|
[3] Jech T., Shelah S.: On countably closed complete boolean algebras.J. Symbolic Logic 61 (1996), 1380–1386, math.LO/9502203. Zbl 0871.06008, MR 1456113, 10.2307/2275822 |
| Reference:
|
[4] Shelah S.: Proper and Improper Forcing.second edition, Springer, New York, 1998. Zbl 0889.03041, MR 1623206 |
| Reference:
|
[5] Vojtáš P.: Game properties of Boolean algebras.Comment. Math. Univ. Carolin. 24 (1983), 349–369. MR 0711272 |
| . |
