3 papers
math.LO2024
Properties preserved by classes of Chu transforms
Francesco Parente
Chu spaces and Chu transforms were first investigated in category theory by Barr and Chu in 1979. In 2000 van Benthem shifted to the model-theoretic point of view by isolating a cl…
math.LO2018
Keisler's order via Boolean ultrapowers
Francesco Parente
In this paper, we provide a new characterization of Keisler's order in terms of saturation of Boolean ultrapowers. To do so, we apply and expand the framework of 'separation of var…
math.LO2018
On regular ultrafilters, Boolean ultrapowers, and Keisler's order
Francesco Parente
In this paper we analyse and compare two different notions of regularity for filters on complete Boolean algebras. We also announce two results from a forthcoming paper in preparat…