Ben de Bondt

collaborators

2 papers

math.LO2024

Saturation of reduced products

Ben De Bondt, Ilijas Farah, Alessandro Vignati

We study reduced products $M = \prod_{n} M_{n} / Fin$ of countable structures in a countable language associated with the Fréchet ideal. We prove that such $M$ is $2^{ℵ_{0}}$ -s…

math.LO2023

Trivial Isomorphisms between Reduced Products

Ben De Bondt, Ilijas Farah, Alessandro Vignati

We introduce a general method for showing under weak forcing axioms that reduced products of countable models of a theory $T$ have as few automorphisms as possible. We show that su…