Geodesic
Homology of n-fold groupoids
Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 22-41

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Any semi-abelian category A appears, via the discrete functor, as a full replete reflective subcategory of the semi-abelian category of internal groupoids in A. This allows one to study the homology of $n$-fold internal groupoids with coefficients in a semi-abelian category A, and to compute explicit higher Hopf formulae. The crucial concept making such computations possible is the notion of protoadditive functor, which can be seen as a natural generalisation of the notion of additive functor.

Classification : 8G, 20J, 55N35, 18E10, 20L
Keywords: Protoadditive functor, categorical Galois theory, internal groupoid, semi-abelian category, homology, Hopf formula 
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Tomas Everaert; Marino Gran. Homology of n-fold groupoids. Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 22-41. http://geodesic.mathdoc.fr/item/TAC_2010_23_a1/