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.
机构:
Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
Univ Vienna, Kurt Godel Res Ctr Math Log, Wahringer Str 25, A-1090 Vienna, AustriaTel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
机构:
CUNY, Grad Ctr, Math Program, New York, NY 10016 USA
CUNY Coll Staten Isl, Dept Math, Staten Isl, NY 10314 USACUNY, Grad Ctr, Math Program, New York, NY 10016 USA