### Large Cardinals and Large Dilators

Andy Lewis
Source: J. Symbolic Logic Volume 63, Issue 4 (1998), 1496-1510.

#### Abstract

Applying Woodin's non-stationary tower notion of forcing, I prove that the existence of a supercompact cardinal $\kappa$ in V and a Ramsey dilator in some small forcing extension V[G] implies the existence in V of a measurable dilator of size $\kappa$, measurable by $\kappa$-complete measures.

Full-text: Remote access
If you are a member of the ASL, log in to Euclid for access.
Full-text is available via JSTOR, for JSTOR subscribers. Go to this article in JSTOR.