2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150170This 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.Plain Tex, email tamsaman@picard.ups-tlse.frAlgebraic Geometrytext