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Forcing Magidor iteration over a core model below \({0^{\P}}\)

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Abstract

We study the Magidor iteration of Prikry forcings, and the resulting normal measures on \({\kappa}\) , the first measurable cardinal in a generic extension. We show that when applying the iteration to a core model below \({0^{\P}}\) , then there exists a natural correspondence between the normal measures on \({\kappa}\) in the ground model, and those of the generic extension.

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  1. Tel-Aviv University, Tel-Aviv, Israel

    Omer Ben-Neria

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  1. Omer Ben-Neria
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Correspondence to Omer Ben-Neria.

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Ben-Neria, O. Forcing Magidor iteration over a core model below \({0^{\P}}\) . Arch. Math. Logic 53, 367–384 (2014). https://doi.org/10.1007/s00153-014-0370-2

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  • DOI: https://doi.org/10.1007/s00153-014-0370-2

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