The Brown-Golasinski model structure on strict $\infty$-groupoids revisited
Category Theory
2020-09-07 v2 Algebraic Topology
Abstract
We prove that the folk model structure on strict -categories transfers to the category of strict -groupoids (and more generally to the category of strict -categories), and that the resulting model structure on strict -groupoids coincides with the one defined by Brown and Golasinski via crossed complexes.
Cite
@article{arxiv.1010.2599,
title = {The Brown-Golasinski model structure on strict $\infty$-groupoids revisited},
author = {Dimitri Ara and François Métayer},
journal= {arXiv preprint arXiv:1010.2599},
year = {2020}
}
Comments
24 pages, v2: generalization to strict $(\infty, n)$-categories added