The Bénabou-Roubaud theorem via string diagrams
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908758811082752 |
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| author | Obradović, Jovana |
| author_facet | Obradović, Jovana |
| contents | We give a complete proof of the Bénabou-Roubaud monadic descent theorem using the graphical calculus of string diagrams. Our proof links the monadic and Grothendieck's original viewpoint on descent via an internal-category-based characterization of the category of descent data, equivalent to the one of Janelidze and Tholen. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05691 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Bénabou-Roubaud theorem via string diagrams Obradović, Jovana Category Theory 18F20 (Primary) 18M30 (Secondary) We give a complete proof of the Bénabou-Roubaud monadic descent theorem using the graphical calculus of string diagrams. Our proof links the monadic and Grothendieck's original viewpoint on descent via an internal-category-based characterization of the category of descent data, equivalent to the one of Janelidze and Tholen. |
| title | The Bénabou-Roubaud theorem via string diagrams |
| topic | Category Theory 18F20 (Primary) 18M30 (Secondary) |
| url | https://arxiv.org/abs/2601.05691 |