Geodesic
Stacks and the homotopy theory of simplicial sheaves
Homology, homotopy, and applications, Tome 3 (2001) no. 2, pp. 361-384.

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

Stacks are described as sheaves of groupoids $G$ satisfying an effective descent condition, or equivalently such that the classifying object $BG$ satisfies descent. The set of simplicial sheaf homotopy classes $[*,BG]$ is identified with equivalence classes of acyclic homotopy colimits fibred over $BG$, generalizing the classical relation between torsors and non-abelian cohomology. Group actions give rise to quotient stacks, which appear as parameter spaces for the separable transfer construction in special cases.
DOI : 10.4310/HHA.2001.v3.n2.a5
Classification : 18G50, 14A20, 18F20, 18G30 
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J. F. Jardine. Stacks and the homotopy theory of simplicial sheaves. Homology, homotopy, and applications, Tome 3 (2001) no. 2, pp. 361-384. doi : 10.4310/HHA.2001.v3.n2.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2001.v3.n2.a5/

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