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

preprint2011arXivOpen access

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 (∞,n)(\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.

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