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Graded Lawson-Stone Duality
Published 7 Oct 2025 in math.RA | (2510.06497v1)
Abstract: The classical Stone duality associates to each Boolean algebra a topological space consisting of ultrafilters. Lawson's generalisation constructs a dual equivalence of categories of Boolean inverse $\land$-semigroups and Hausdorff ample topological groupoids. We further generalise the duality to the graded analogues of those categories, and provide various illustrations.
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