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math.LO2022★ 1 cited
The Magidor Iteration and Restrictions of Ultrapowers to the Ground Model
Eyal Kaplan
We study the Magidor iteration of Prikry forcings below a measurable limit of measurables . We first characterize all the normal measures carries in the generic extension,…
math.LO2021
Non-stationary support iterations of Prikry Forcings and Restrictions of Ultrapower Embeddings to the Ground Model
Moti Gitik, Eyal Kaplan
We study the nonstationary-support iteration of Prikry forcings below a measurable cardinal κ, characterizing all the normal measures it carries in the generic extension. We then a…