The Bénabou-Roubaud theorem via string diagrams

Published 9 Jan 2026 in math.CT | (2601.05691v1)

Abstract: 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.

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Jovana Obradović

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