dorsal/arxiv
View SchemaThe B\'enabou-Roubaud theorem via string diagrams
| Authors | Jovana Obradović |
|---|---|
| Categories | |
| ArXiv ID | 2601.05691vv2 |
| URL | https://arxiv.org/abs/2601.05691 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We give a complete proof of the B\'enabou-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.
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"date_created": "2026-02-17T05:53:05.005000Z",
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"abstract": "We give a complete proof of the B\\\u0027enabou-Roubaud monadic descent theorem using the graphical calculus of string diagrams. Our proof links the monadic and Grothendieck\u0027s original viewpoint on descent via an internal-category-based characterization of the category of descent data, equivalent to the one of Janelidze and Tholen.",
"arxiv_id": "2601.05691",
"authors": [
"Jovana Obradovi\u0107"
],
"categories": [
"math.CT"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "The B\\\u0027enabou-Roubaud theorem via string diagrams",
"url": "https://arxiv.org/abs/2601.05691",
"version": "v2"
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