Geodesic
On the homotopy theory of $n$-types
Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 305-325.

Voir la notice de l'article provenant de la source International Press of Boston

We achieve a classification of $n$-types of simplicial presheaves in terms of $(n-1)$-types of presheaves of simplicial groupoids. This can be viewed as a description of the homotopy theory of higher stacks. As a special case we obtain a good homotopy theory of (weak) higher groupoids.
DOI : 10.4310/HHA.2008.v10.n1.a13
Classification : 18D05, 18F20, 54B40, 55P15, 55U40
Keywords: homotopy, simplicial set, simplicial groupoid, simplicial presheaf, simplicial sheaf, stack, Postnikov section 
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Georg Biedermann. On the homotopy theory of $n$-types. Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 305-325. doi : 10.4310/HHA.2008.v10.n1.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n1.a13/

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