Homology, Homotopy and Applications
Volume 13 (2011)
The Brown-Golasiński model structure on strict $\infty$-groupoids revisited
Pages: 121 – 142
We prove that the folk model structure on strict $\infty$-categories transfers to the category of strict $\infty$-groupoids (and more generally to the category of strict $(\infty; n)$-categories), and that the resulting model structure on strict $\infty$-groupoids coincides with the one defined by Brown and Golasiński via crossed complexes.
$\infty$-category; $\infty$-groupoid; crossed complex; model category
2010 Mathematics Subject Classification
18D05, 18G55, 55U35