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arXiv · 2510.06497

Graded Lawson-Stone Duality

Roozbeh Hazrat·Zachary Mesyan
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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 graded versions of those categories, while allowing larger classes of morphisms, and provide various illustrations.

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Roozbeh Hazrat, Zachary Mesyan. 2025-10-07. Graded Lawson-Stone Duality. https://arxiv.org/abs/2510.06497

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