Unfoldable Cardinals and the GCH

Hamkins, Joel David

J. Symbolic Logic, Tome 66 (2001) no. 1, p. 1186-1198 / Harvested from Project Euclid

Résumé

Unfoldable cardinals are preserved by fast function forcing and the Laver-like preparations that fast functions support. These iterations show, by set-forcing over any model of ZFC, that any given unfoldable cardinal $\kappa$ can be made indestructible by the forcing to add any number of Cohen subsets to $\kappa$.

Publié le : 2001-09-14
Classification:

@article{1183746553,
     author = {Hamkins, Joel David},
     title = {Unfoldable Cardinals and the GCH},
     journal = {J. Symbolic Logic},
     volume = {66},
     number = {1},
     year = {2001},
     pages = { 1186-1198},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746553}
}

Hamkins, Joel David. Unfoldable Cardinals and the GCH. J. Symbolic Logic, Tome 66 (2001) no. 1, pp.  1186-1198. http://gdmltest.u-ga.fr/item/1183746553/