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Uniqueness and (∞,2)-Naturality of Yoneda

2024/05/14 by Shay Ben-Moshe, Ben-Moshe, Shay · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.2405.08799

Abstract

We show that the Yoneda embedding extends to an (∞,2)-natural transformation. Furthermore, as such, it is uniquely determined by its value at the trivial ∞-category. We also study the naturality of the Yoneda lemma in its arguments, showing that it is an isomorphism of (∞,2)-natural transformations.

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