3 citations · 7 across the 18 of their papers we have counts for
6 papers · 1 filter
MacNeille completions of subordination algebras
Marco Abbadini, Guram Bezhanishvili, Luca Carai
-subordination algebras are a natural generalization of de Vries algebras. Recently it was proved that the category of -subordination a…
Connecting generalized Priestley duality to Hofmann-Mislove-Stralka duality
Guram Bezhanishvili, Luca Carai, Patrick Morandi
We connect Priestley duality for distributive lattices and its generalization to distributive meet-semilattices to Hofmann-Mislove-Stralka duality for semilattices. Among other thi…
A generalization of de Vries duality to closed relations between compact Hausdorff spaces
Marco Abbadini, Guram Bezhanishvili, Luca Carai
Stone duality generalizes to an equivalence between the categories of Stone spaces and closed relations and of boolean algebr…
A Unified Approach to Gelfand and de Vries Dualities
Guram Bezhanishvili, Luca Carai, Patrick Morandi +1
We develop a unified approach to Gelfand and de Vries dualities for compact Hausdorff spaces, which is based on appropriate modifications of the classic results of Dieudonné (analy…
Admissibility of -Inference Rules: interpolation, model completion, and contact algebras
Nick Bezhanishvili, Luca Carai, Silvio Ghilardi +1
We devise three strategies for recognizing admissibility of non-standard inference rules via interpolation, uniform interpolation, and model completions. We apply our machinery to…
De Vries powers and proximity Specker algebras
G. Bezhanishvili, L. Carai, P. Morandi +1
By de Vries duality [9], the category of compact Hausdorff spaces is dually equivalent to the category of de Vries algebras. In [5] an alternate duality f…