3 papers
math.LO2026
Duality Theory for Bounded Lattices: A Comparative Study
Guram Bezhanishvili, Luca Carai, Patrick Morandi
There are numerous generalizations of the celebrated Priestley duality for bounded distributive lattices to the non-distributive setting. The resulting dualities rely on an earlier…
math.AC2026
Generalizing Gelfand duality to Nachbin spaces
G. Bezhanishvili, P. J. Morandi
We introduce the notion of a Nachbin proximity on a bounded archimedean -algebra (bal-algebra). We prove that Gelfand duality lifts to yield a dual equivalence between the ca…
math.LO2024
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…