2010/10/31 by Dimitri Ara, François Métayer · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Combinatorics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Model category #Pure mathematics #math.AT #math.CT
paper · pdf · doi:10.4310/hha.2011.v13.n1.a6
published as Homology, Homotopy and Applications, 2011, vol. 13, no 1, p. 121-142 · 24 pages, v2: generalization to strict $(\infty, n)$-categories added
openalex publication_date 2011/01/01 · arxiv created 2011/07/28 · arxiv updated 2020/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that the folk model structure on strict -categories transfers to the category of strict -groupoids (and more generally to the category of strict (, n)-categories), and that the resulting model structure on strict -groupoids coincides with the one defined by Brown and Golasiski via crossed complexes.