A. Vignati

activity

20172026

C^{*}

-algebras: set theoretical dichotomies in the theory of continuous quotients

6 citations · 7 across the 15 of their papers we have counts for

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Showing 2024 · math.LOShow all

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math.LO2024

A metric lifting theorem

Ben De Bondt, Alessandro Vignati

In a recent article by Farah and the authors, a strong lifting theorem was proved for a class of coordinate-respecting maps between reduced products of discrete structures, hereby…

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…