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  1. Indestructibility and the linearity of the Mitchell ordering.Arthur W. Apter - 2024 - Archive for Mathematical Logic 63 (3):473-482.
    Suppose that \(\kappa \) is indestructibly supercompact and there is a measurable cardinal \(\lambda > \kappa \). It then follows that \(A_0 = \{\delta is a measurable cardinal and the Mitchell ordering of normal measures over \(\delta \) is nonlinear \(\}\) is unbounded in \(\kappa \). If the Mitchell ordering of normal measures over \(\lambda \) is also linear, then by reflection (and without any use of indestructibility), \(A_1= \{\delta is a measurable cardinal and the Mitchell ordering of normal measures (...)
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  • On Easton Support Iteration of Prikry-Type Forcing Notions.Moti Gitik & Eyal Kaplan - forthcoming - Journal of Symbolic Logic:1-46.
    We consider of constructing normal ultrafilters in extensions are here Easton support iterations of Prikry-type forcing notions. New ways presented. It turns out that, in contrast with other supports, seemingly unrelated measures or extenders can be involved here.
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  • Non-stationary support iterations of Prikry forcings and restrictions of ultrapower embeddings to the ground model.Moti Gitik & Eyal Kaplan - 2023 - Annals of Pure and Applied Logic 174 (1):103164.
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  • Around accumulation points and maximal sequences of indiscernibles.Moti Gitik - forthcoming - Archive for Mathematical Logic:1-18.
    Answering a question of Mitchell (Trans Am Math Soc 329(2):507–530, 1992) we show that a limit of accumulation points can be singular in $${\mathcal {K}}$$ K. Some additional constructions are presented.
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