Graded Lawson–Stone duality
Roozbeh Hazrat, Zachary Mesyan · Bulletin of the London Mathematical Society · 2026
Abstract The classical Stone duality associates to each Boolean algebra a topological space consisting of ultrafilters. Lawson's generalization constructs a dual equivalence between the categories of Boolean inverse ‐semigroups and Hausdorff ample topological groupoids. We further generalize the duality to graded versions of those categories, while allowing larger classes of morphisms, and provide various illustrations.