Graded Lawson-Stone Duality
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908580744003584 |
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| author | Hazrat, Roozbeh Mesyan, Zachary |
| author_facet | Hazrat, Roozbeh Mesyan, Zachary |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06497 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graded Lawson-Stone Duality Hazrat, Roozbeh Mesyan, Zachary Rings and Algebras 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. |
| title | Graded Lawson-Stone Duality |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2510.06497 |