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arXiv · 2206.00660

Model independence of $(\infty,2)$-categorical nerves

Lyne Moser·Viktoriya Ozornova·Martina Rovelli
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Abstract

For most models of $(\infty,2)$-categories an embedding of the $\infty$-category of 2-categories into that of $(\infty,2)$-categories has been constructed in the form of a nerve construction of some flavor. We prove that all those nerve embeddings induce equivalent functors, modulo change of model. We also show that all the nerve embeddings realize the $\infty$-category of 2-categories as the sub-$\infty$-category of $(\infty,2)$-categories that are local with respect to a certain class of maps.

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Lyne Moser, Viktoriya Ozornova, Martina Rovelli. 2022-06-01. Model independence of $(\infty,2)$-categorical nerves. https://arxiv.org/abs/2206.00660

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