Title: On the homotopy theory of n-types

Author: Georg Biedermann	

e-mail: gbiederm@uwo.ca	

Mail address: Dep. of Mathematics, Middlesex College, UWO, London,
Ontario, N5X 2W8, Canada

AMS Classification: 55U40, 54B40, 18F20, 18D05, 55P15

arXive submission number: math.AT/0604514

Abstract:

We achieve a classification of n-types of simplicial presheaves in terms
of (n-1)-types of presheaves of groupoids enriched in simplicial
sets. This can be viewed as a different description of the homotopy
theory of higher hyperstacks. As a special case we obtain a good
substitute for the homotopy theory of (weak) higher groupoids.