From Cat^2-groups to Tamsamani's weak 3-groupoids: An overview

Simona Paoli – 6 July 2005

There are at present two types of algebraic models of n-types. The first one uses catn-1-groups, the second uses Tamsamani's weak n-groupoids. We address the problem of comparing the two models in the path-connected case. We illustrate a comparison result for connected 3-types. In this talk I will recall some necessary background and I will give an overview of the main ideas used in the proofs.