Successive Weakly Compact or Singular Cardinals

Journal of Symbolic Logic 64 (1):139-146 (1999)
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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.

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Citations of this work

Making all cardinals almost Ramsey.Arthur W. Apter & Peter Koepke - 2008 - Archive for Mathematical Logic 47 (7-8):769-783.
Weak covering and the tree property.Ralf-Dieter Schindler - 1999 - Archive for Mathematical Logic 38 (8):515-520.

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