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Successive weakly compact or singular cardinals

Published online by Cambridge University Press:  12 March 2014

Ralf-Dieter Schindler
Ralf-Dieter Schindler*
Affiliation:
Mathematisches Institut, Uni Bonn, Beringstrasse 4, D-53115 Bonn, Germany Department of Mathematics, U. C. Berkeley, Berkeley, California 94720, USA, E-mail: rds@math.uni-bonn.de Department of Mathematics, U. C. Berkeley, Berkeley, California 94720, USA, E-mail: rds@math.berkeley.edu
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Abstract

It is shown in ZF that if δ < δ+ < Ω are such that δ and δ+ are either both weakly compact or singular cardinals and Ω is large enough for putting the core model apparatus into action then there is an inner model with a Woodin cardinal.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 1 , March 1999 , pp. 139 - 146
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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