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

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

2010-10-13

arxiv.org/abs/1010.2599v2

Homology, Homotopy and Applications 13, 1 (2011) 121-142

Mathematics

Category Theory

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

Scientific paper

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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