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math.LO2026
Compactness phenomena in HOD and the Optimality of Magidor's Covering theorem
Tom Benhamou, James Cummings, Yair Hayut +2
We continue the study of compactness phenomena between the set-theoretic universe and initiated by Goldberg--Poveda \cite{GolPov}. We focus on compactness phenomena…
math.LO2026
On the Intermediate Models of Strongly Compact Prikry Forcing
Tom Benhamou, Sebastiano Thei, Ben-Zion Weltsch
We analyze the intermediate models of the strongly compact Prikry forcing. We exhibit a simple combinatorial property which, for a given supercompact cardinal , characterize the…