Equivalence de la théorie homotopique des $n$-groupoïdes et celle des espaces topologiques $n$-tronqués

Abstract

This paper constitutes a recent work using the constructions of a previous preprint alg-geom/9512006 to show that the functors geometric realisation and Poincaré $n$-groupoid induce an equivalence between the category of $n$-grouppoids and the category of $n$-truncated topological spaces, when we localise both categories by weak equivalence.