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On a problem inspired by determinacy

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Abstract

In this paper, we construct a modelN in which ℵ1, the only regular uncountable cardinal, is measurable via the club filter. Thus,N is a model for the theory “ZF+κ is regular iffκ is measurable”.

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Authors and Affiliations

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

    Arthur W. Apter

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  1. Arthur W. Apter
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Additional information

This research in this paper was partially supported by NSF Grant DMS-8413736.

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Apter, A.W. On a problem inspired by determinacy. Israel J. Math. 61, 256–270 (1988). https://doi.org/10.1007/BF02772571

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  • DOI: https://doi.org/10.1007/BF02772571

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