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We study the Magidor iteration of Prikry forcings below a measurable limit ofmeasurables $ \kappa $. We first characterize all the normal measures $ \kappa$ carries in the generic extension, building on and extending the main resultof \cite{ben2014forcing}. Then, for every such normal measure, we prove thatthe restriction of its ultrapower, from the generic extension to the groundmodel, is an iterated ultrapower of $ V $ by normal measures. This is donewithout core model theoretic assumptions; $ \mbox{GCH}_{\leq \kappa} $ in theground model suffices.

The Magidor Iteration and Restrictions of Ultrapowers to the Ground Model