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On a problem of Woodin

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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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Authors and Affiliations

  1. Department of Mathematics, Baruch College of CUNY, New York, NY 10010, USA (e-mail: awabb@cunyvm.cuny.edu), , , , , , US

    Arthur W. Apter

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  1. Arthur W. Apter
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Received: 25 July 1997 / Revised version: August 6, 1998

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Apter, A. On a problem of Woodin. Arch Math Logic 39, 253–259 (2000). https://doi.org/10.1007/s001530050146

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  • DOI: https://doi.org/10.1007/s001530050146

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