The Brown-Golasinski model structure on $\infty$-groupoids revisited

Dimitri Ara (1) , François Métayer (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 PPS - Preuves, Programmes et Systèmes

We prove that the folk model structure on strict $\infty$-categories transfers to $\infty$-groupoids, and that the resulting model structure coincides with the one defined by Brown and Golasinski via crossed complexes.

Mots clés: $\infty$-groupoids; homotopy; model structure

Domaines: Catégories et ensembles [math.CT]; Topologie algébrique [math.AT]

Dimitri Ara, François Métayer. The Brown-Golasinski model structure on $\infty$-groupoids revisited. 2010. ⟨hal-00525842v1⟩