Core models in the presence of Woodin cardinals
Ralf Schindler
Source: J. Symbolic Logic Volume 71, Issue 4
(2006), 1145-1154.
Abstract
Let 0 < n <ω. If there are n Woodin cardinals and a measurable cardinal above, but Mn+1# doesn’t exist, then the core model K exists in a sense made precise. An Iterability Inheritance Hypothesis is isolated which is shown to imply an optimal correctness result for K.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1164060449
Digital Object Identifier: doi:10.2178/jsl/1164060449
Mathematical Reviews number (MathSciNet): MR2275853
Zentralblatt MATH identifier: 1109.03064
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-------- private communication.,
W. H. Woodin private communication.,