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math.LO2025
Corona Rigidity
Ilijas Farah, Saeed Ghasemi, Andrea Vaccaro +1
We give a unified overview of the study of the effects of additional set theoretic axioms on quotient structures. Our focus is on rigidity, measured in terms of existence (or rathe…
math.LO2024
Preservation of elementarity by tensor products of tracial von Neumann algebras
Ilijas Farah, Saeed Ghasemi
Tensoring with type I algebras preserves elementary equivalence in the category of tracial von Neumann algebras. The proof involves a novel and general Feferman--Vaught-type theore…