Games with creatures
Shelah, Saharon ; Zapletal, Jindřich
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 9-21 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

Many forcing notions obtained using the creature technology are naturally connected with certain integer games.

Publié le : 2003-01-01
Classification:  03E40,  03E60 
@article{119364,
     author = {Saharon Shelah and Jind\v rich Zapletal},
     title = {Games with creatures},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {9-21},
     zbl = {1104.03049},
     mrnumber = {2045842},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119364}
}

Shelah, Saharon; Zapletal, Jindřich. Games with creatures. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 9-21. http://gdmltest.u-ga.fr/item/119364/

Jech T. Set Theory, Academic Press, San Diego, 1978. | MR 0506523 | Zbl 1007.03002

Kechris A. On a notion of smallness for subsets of the Baire space, Trans. Amer. Math. Soc. 229 (1977), 191-207. (1977) | MR 0450070 | Zbl 0401.03022

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

Roslanowski A.; Shelah S. Norms on possibilities I: forcing with trees and creatures, Memoirs Amer. Math. Soc. 141, 1999. | MR 1613600 | Zbl 0940.03059

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

Bartoszynski T.; Judah H. Set Theory. On the Structure of the Real Line, A K Peters, Wellesley, MA, 1995. | MR 1350295 | Zbl 0834.04001

Zapletal J. Cardinal Invariants and Descriptive Set Theory, Memoirs Amer. Math. Soc., submitted.

Zapletal J. Forcing with ideals of closed sets, Comment. Math. Univ. Carolinae 43.1 (2002), 181-188. (2002) | MR 1903318