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Indescribable cardinals without diamonds

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Summary

We show that form, n≧1 the existence of a∏ m n indescribable cardinal is equiconsistent with the failure of the combinatorial principle

at a∏ m n indescribable cardinal κ together with the Generalized Continuum Hypothesis.

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Author notes

  1. Kai Hauser

    Present address: Department of Mathematics, University of California, 94720, Berkeley, CA, USA

Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA

    Kai Hauser

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  1. Kai Hauser
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Hauser, K. Indescribable cardinals without diamonds. Arch Math Logic 31, 373–383 (1992). https://doi.org/10.1007/BF01627508

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  • DOI: https://doi.org/10.1007/BF01627508

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