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math.LO2024
Dense ideals
Monroe Eskew, Yair Hayut
In this paper, we obtain the consistency, relative to large cardinals, of the existence of dense ideals on every successor of a regular cardinal simultaneously. Using a consequent…
math.LO2024
Intermediate models with deep failure of choice
Yair Hayut, Assaf Shani
The following question was asked by Grigorieff: Suppose is a ZFC model and is a set-generic extension of . Can there be a ZF model so that $V\subset N \subset V[G…
math.LO2024
The first measurable can be the first inaccessible cardinal
Moti Gitik, Yair Hayut, Asaf Karagila
In [8] the second and third authors showed that if the least inaccessible cardinal is the least measurable cardinal, then there is an inner model with . In this paper we…