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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
Chang's Conjectures and Easton collapses
Monroe Eskew, Masahiro Shioya
Using Easton collapses, we give a simplified construction of a model in which Chang's Conjecture for triples holds.
math.LO2024
Saturated ideals from Laver collapses
Monroe Eskew
Addressing a question of Shioya, we show that two-step iterations of the Laver collapse can force saturated ideals and Chang conjectures.