Journal of Symbolic Logic

Successive Weakly Compact or Singular Cardinals

Ralf-Dieter Schindler

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Abstract

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

Article information

Source
J. Symbolic Logic, Volume 64, Issue 1 (1999), 139-146.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183745696

Mathematical Reviews number (MathSciNet)
MR1683899

Zentralblatt MATH identifier
0926.03069

JSTOR
links.jstor.org

Citation

Schindler, Ralf-Dieter. Successive Weakly Compact or Singular Cardinals. J. Symbolic Logic 64 (1999), no. 1, 139--146. https://projecteuclid.org/euclid.jsl/1183745696


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