Geodesic
A homotopy colimit theorem for diagrams of braided monoidal categories
Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 19-32.

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

Thomason’s Homotopy Colimit Theorem has been extended to bicategories and this extension can be adapted, through the delooping principle, to a corresponding theorem for diagrams of monoidal categories. In this version, we show that the homotopy type of the diagram can also be represented by a genuine simplicial set nerve associated with it. This suggests the study of a homotopy colimit theorem, for diagrams $\mathcal{B}$ of braided monoidal categories, by means of a simplicial set nerve of the diagram. We prove that it is weak homotopy equivalent to the homotopy colimit of the diagram, of simplicial sets, obtained from composing $\mathcal{B}$ with the geometric nerve functor of braided monoidal categories.
DOI : 10.4310/HHA.2012.v14.n1.a2
Classification : 18D05, 18D10, 55P15, 55P48
Keywords: homotopy colimit, simplicial set, bicategory, braided monoidal category 
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A.R. Garzón; R. Pérez. A homotopy colimit theorem for diagrams of braided monoidal categories. Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 19-32. doi : 10.4310/HHA.2012.v14.n1.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n1.a2/

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