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

Abstract

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 Golasinski via crossed complexes.

24 pages, v2: generalization to strict $(\infty ,n)$-categories added

References in corpus (1)

• A Quillen model structure for Gray-categories

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