| Title:
|
Games with creatures (English) |
| Author:
|
Shelah, Saharon |
| Author:
|
Zapletal, Jindřich |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
9-21 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Many forcing notions obtained using the creature technology are naturally connected with certain integer games. (English) |
| Keyword:
|
creature forcing |
| Keyword:
|
determinacy |
| MSC:
|
03E40 |
| MSC:
|
03E60 |
| idZBL:
|
Zbl 1104.03049 |
| idMR:
|
MR2045842 |
| . |
| Date available:
|
2009-01-08T19:27:03Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119364 |
| . |
| Reference:
|
[1] Jech T.: Set Theory.Academic Press, San Diego, 1978. Zbl 1007.03002, MR 0506523 |
| Reference:
|
[2] Kechris A.: On a notion of smallness for subsets of the Baire space.Trans. Amer. Math. Soc. 229 (1977), 191-207. Zbl 0401.03022, MR 0450070 |
| Reference:
|
[3] Anthony Martin D.: A purely inductive proof of Borel determinacy.Number 42 in Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, 1985, pp.303-308. MR 0791065 |
| Reference:
|
[4] Roslanowski A., Shelah S.: Norms on possibilities I: forcing with trees and creatures.Memoirs Amer. Math. Soc. 141, 1999. Zbl 0940.03059, MR 1613600 |
| Reference:
|
[5] Shelah S.: Viva la difference I: Nonisomorphism of ultrapowers of countable models.in Set Theory of the Continuum, vol. 26 of Mathematical Sciences Research Institute Publications, Springer Verlag, 1992, pp.357-405. MR 1233826 |
| Reference:
|
[6] Bartoszynski T., Judah H.: Set Theory. On the Structure of the Real Line.A K Peters, Wellesley, MA, 1995. Zbl 0834.04001, MR 1350295 |
| Reference:
|
[7] Zapletal J.: Cardinal Invariants and Descriptive Set Theory.Memoirs Amer. Math. Soc., submitted. |
| Reference:
|
[8] Zapletal J.: Forcing with ideals of closed sets.Comment. Math. Univ. Carolinae 43.1 (2002), 181-188. MR 1903318 |
| . |
