Unfoldable cardinals and the GCH

Authors
Hamkins, JD
Citation
Jd. Hamkins, Unfoldable cardinals and the GCH, J SYMB LOG, 66(3), 2001, pp. 1186-1198
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF SYMBOLIC LOGIC
ISSN journal
00224812 → ACNP
Volume
66
Issue
3
Year of publication
2001
Pages
1186 - 1198
Database
ISI
SICI code
0022-4812(200109)66:3<1186:UCATG>2.0.ZU;2-S
Abstract
Unfoldable cardinals are preserved by fast function forcing and the Laver-l ike preparations that fast functions support. These iterations show, by set -forcing over any model of ZFC, that any given unfoldable cardinal kappa ca n be made indestructible by the forcing to add any number of Cohen subsets to kappa.