Journal of Symbolic Logic

Large Cardinals and Large Dilators

Andy Lewis

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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

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183745644

Mathematical Reviews number (MathSciNet)
MR1665763

Zentralblatt MATH identifier
0926.03070

JSTOR
links.jstor.org

Citation

Lewis, Andy. Large Cardinals and Large Dilators. J. Symbolic Logic 63 (1998), no. 4, 1496--1510. https://projecteuclid.org/euclid.jsl/1183745644


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