## Journal of Symbolic Logic

### Large Cardinals and Large Dilators

Andy Lewis

#### 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.

#### Article information

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

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183745644

Mathematical Reviews number (MathSciNet)
MR1665763

Zentralblatt MATH identifier
0926.03070

JSTOR