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arXiv · 2405.08799

Uniqueness and $(\infty,2)$-Naturality of Yoneda

Shay Ben-Moshe
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Abstract

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

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BibTeXRIS

Shay Ben-Moshe. 2024-05-14. Uniqueness and $(\infty,2)$-Naturality of Yoneda. https://doi.org/10.4171/dm/983

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