Introduces axiomatization and characterization of κ-Solovay models of the form L(V_{κ+1})^M and proves elementary equivalences between such models.
Karagila, Lecture Notes: Forcing & Symmetric Extensions , found online at https://karagila.org/files/Forcing-2023.pdf, unpublished (2023)
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Higher Solovay Models
Introduces axiomatization and characterization of κ-Solovay models of the form L(V_{κ+1})^M and proves elementary equivalences between such models.