Journal of Symbolic Logic

A universal extender model without large cardinals in V

William Mitchell and Ralf Schindler

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Abstract

We construct, assuming that there is no inner model with a Woodin cardinal but without any large cardinal assumption, a model Kc which is iterable for set length iterations, which is universal with respect to all weasels with which it can be compared, and (assuming GCH) is universal with respect to set sized premice.

Article information

Source
J. Symbolic Logic, Volume 69, Issue 2 (2004), 371-386.

Dates
First available in Project Euclid: 19 April 2004

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1082418531

Digital Object Identifier
doi:10.2178/jsl/1082418531

Mathematical Reviews number (MathSciNet)
MR2058177

Zentralblatt MATH identifier
1069.03046

Subjects
Primary: 03E45: Inner models, including constructibility, ordinal definability, and core models

Keywords
Set theory core models large cardinals

Citation

Mitchell, William; Schindler, Ralf. A universal extender model without large cardinals in V. J. Symbolic Logic 69 (2004), no. 2, 371--386. doi:10.2178/jsl/1082418531. https://projecteuclid.org/euclid.jsl/1082418531


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References

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