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La théorie de l'homotopie des 2-catégories

Published 25 Nov 2014 in math.AT and math.CT | (1411.6936v1)

Abstract: On d\'eveloppe une th\'eorie de l'homotopie des 2-cat\'egories analogue `a la th\'eorie de l'homotopie des cat\'egories d\'evelopp\'ee par Grothendieck dans "`A la poursuite des champs". Il s'agit de la th`ese de doctorat de l'auteur. We develop a homotopy theory of 2-categories analogous to Grothendieck's homotopy theory of categories developed in "Pursuing Stacks." This is the author's PhD thesis.

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