On a problem of Woodin

Archive for Mathematical Logic 39 (4):253-259 (2000)
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Abstract

A question of Woodin asks if $\kappa$ is strongly compact and GCH holds for all cardinals $\delta < \kappa$ , then must GCH hold everywhere. We get a negative answer to Woodin's question in the context of the negation of the Axiom of Choice

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