4 papers · 1 filter
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…
Rigidity of Higson coronas
Alessandro Vignati
We show that under mild set theoretic hypotheses we have rigidity for algebras of continuous functions over Higson coronas, topological spaces arising in coarse geometry. In partic…
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…
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 have as few automorphisms as possible. We show that su…