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Successive weakly compact or singular cardinals. (English) Zbl 0926.03069
Summary: 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.

MSC:
03E55 Large cardinals
03E45 Inner models, including constructibility, ordinal definability, and core models
03E35 Consistency and independence results
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