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arXiv · 1010.2599

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

Dimitri Ara·François Métayer
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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.

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Dimitri Ara, François Métayer. 2010-10-13. The Brown-Golasinski model structure on strict $\infty$-groupoids revisited. https://doi.org/10.4310/hha.2011.v13.n1.a6

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