Uniqueness and (∞,2)-Naturality of Yoneda
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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