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Level by level inequivalence beyond measurability

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Abstract

We construct models containing exactly one supercompact cardinal in which level by level inequivalence between strong compactness and supercompactness holds. In each model, above the supercompact cardinal, there are finitely many strongly compact cardinals, and the strongly compact and measurable cardinals precisely coincide.

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Authors and Affiliations

  1. Department of Mathematics, Baruch College of CUNY, New York, NY, 10010, USA

    Arthur W. Apter

  2. The CUNY Graduate Center, Mathematics, 365 Fifth Avenue, New York, NY, 10016, USA

    Arthur W. Apter

Authors
  1. Arthur W. Apter
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Correspondence to Arthur W. Apter.

Additional information

The author’s research was partially supported by PSC-CUNY grants.

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Apter, A.W. Level by level inequivalence beyond measurability. Arch. Math. Logic 50, 707–712 (2011). https://doi.org/10.1007/s00153-011-0243-x

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  • DOI: https://doi.org/10.1007/s00153-011-0243-x

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