HOMOLOGY OF CATEGORIES VIA POLYGRAPHIC RESOLUTIONS
Résumé
In this paper, we extend a result of Lafont and Métayer and prove that the polygraphic homology of a small category, defined in terms of polygraphic resolutions in the category ωCat of strict ω-categories, is naturally isomorphic to the homology of its nerve. Along the way, we prove some results on homotopy colimits with respect to the Folk model structure and deduce a theorem which formally resembles Quillen's Theorem A.
Origine : Fichiers produits par l'(les) auteur(s)
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