Journal of Symbolic Logic

A universal extender model without large cardinals in V

William Mitchell and Ralf Schindler

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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

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

First available in Project Euclid: 19 April 2004

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Set theory core models large cardinals


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.

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