Groupoidal 2-quasi-categories and homotopy 2-types
Category Theory
2022-12-01 v1 Algebraic Topology
Abstract
We define a notion of groupoidal 2-quasi-categories and show that they are the fibrant objects of a model structure on the category of -sets. We show that this model category is Quillen equivalent to the Kan-Quillen model category of simplicial sets and that 2-truncated groupoidal 2-quasi-categories are models for homotopy 2-types.
Keywords
Cite
@article{arxiv.2211.16896,
title = {Groupoidal 2-quasi-categories and homotopy 2-types},
author = {Victor Brittes},
journal= {arXiv preprint arXiv:2211.16896},
year = {2022}
}
Comments
16 pages