6 citations · 6 across the 1 of their papers we have counts for
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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…
Saturation of reduced products
Ben De Bondt, Ilijas Farah, Alessandro Vignati
We study reduced products of countable structures in a countable language associated with the Fréchet ideal. We prove that such is -s…
Nontrivial homeomorphisms of Čech-Stone remainders
Alessandro Vignati
We study the group of automorphisms of certain corona C*-algebras. As a corollary of a more general C*-algebraic result, we show that, under the Continuum Hypothesis, $βX\setminus…