Graded Lawson–Stone duality
Abstract
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.
Fields of Study & Subjects
Polynomial and algebraic computation
Mathematical functions and polynomials
Matrix Theory and Algorithms
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 7
- Publication date
- 1 July 2026
- Language
- EN