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(Weak) diamond can fail at the least inaccessible cardinal

Volume 256 / 2022

Mohammad Golshani Fundamenta Mathematicae 256 (2022), 113-129 MSC: 03E35, 03E55. DOI: 10.4064/fm855-1-2021 Published online: 16 August 2021


Starting from suitable large cardinals, we force the failure of (weak) diamond at the least inaccessible cardinal. The result improves an unpublished theorem of Woodin and a recent result of Ben-Neria, Garti and Hayut.


  • Mohammad GolshaniSchool of Mathematics
    Institute for Research in Fundamental Sciences (IPM)
    P.O. Box 19395-5746
    Tehran, Iran

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