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

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

1996-07-10

arxiv.org/abs/alg-geom/9607010v1

Mathematics

Algebraic Geometry

Plain Tex, email tamsaman@picard.ups-tlse.fr

Scientific paper

This paper constitutes a recent work using the constructions of a previous
preprint alg-geom/9512006 to show that the functors geometric realisation and
Poincar\'e $n$-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.

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