MSI Colloquium

4pm Thursday 09 February 2006
Simona Paoli
Macquarie University

Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids

Homotopy 3-types can be modelled algebraically by Tamsamani's weak 3-groupoids as well as, in the path-connected case, by cat²-groups. The first were introduced in higher category theory as part of a definition of weak higher category, the second arose in homotopy theory, as part of a search for higher order versions of the fundamental group. In this talk I will give a comparison between these two models in the path-connected case. This leads to two different semistrict algebraic models of connected 3-types using Tamsamani's model. Both are then related to Gray groupoids.




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