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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
Upwards homogeneity in iterated symmetric extensions
Calliope Ryan-Smith, Jonathan Schilhan, Yujun Wei
It is sometimes desirable in choiceless constructions of set theory that one iteratively extends some ground model without adding new sets of ordinals after the first extension. Pu…