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math.LO2024
Intermediate models and Kinna--Wagner Principles
Asaf Karagila, Jonathan Schilhan
Kinna--Wagner Principles state that every set can be mapped into some fixed iterated power set of an ordinal, and we write to denote that there is some for which…
math.LO2024
Critical embeddings
Asaf Karagila, Jiachen Yuan
Hayut and the first author isolated the notion of a critical cardinal in [1]. In this work, we answer several questions raised in the original paper. We show that it is consistent…
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…