Abstract
AbstractSmall forcing always ruins the indestructibility of an indestructible supercompact cardinal. In fact, after small forcing, any cardinal κ becomes superdestructible—any further <κ-closed forcing which adds a subset to κ will destroy the measurability, even the weak compactness, of κ. Nevertheless, after small forcing indestructible cardinals remain resurrectible, but never strongly resurrectible.
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. Making the hugeness of ϰ resurrectable after ϰ-directed closed forcing
2. Woodin W. Hugh , Forcing to a model of a supercompact κ whose weak compactness is killed by Add(κ,1), unpublished theorem.
Cited by
21 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献