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Martin's axiom and \(\Delta^2_1\) well-ordering of the reals

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Abstract.

Assuming an inaccessible cardinal \(\kappa\), there is a generic extension in which \(MA + 2^{\aleph_0} = \kappa\) holds and the reals have a \(\Delta^2_1\) well-ordering.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Ben Gurion University, Beér-Sheva, Israel, , , , , , IL

    Uri Abraham

  2. Institute of Mathematics, The Hebrew University, Jerusalem, Israel, , , , , , IL

    Saharon Shelah

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  1. Uri Abraham
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  2. Saharon Shelah
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Received May 6, 1993

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Abraham, U., Shelah, S. Martin's axiom and \(\Delta^2_1\) well-ordering of the reals . Arch Math Logic 35, 287–298 (1996). https://doi.org/10.1007/s001530050046

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  • DOI: https://doi.org/10.1007/s001530050046

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