Model independence of $(\infty,2)$-categorical nerves
Algebraic Topology
2022-06-02 v1 Category Theory
Abstract
For most models of -categories an embedding of the -category of 2-categories into that of -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 -category of 2-categories as the sub--category of -categories that are local with respect to a certain class of maps.
Keywords
Cite
@article{arxiv.2206.00660,
title = {Model independence of $(\infty,2)$-categorical nerves},
author = {Lyne Moser and Viktoriya Ozornova and Martina Rovelli},
journal= {arXiv preprint arXiv:2206.00660},
year = {2022}
}