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

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

2006-07-14

arxiv.org/abs/math/0607330v1

Mathematics

Algebraic Topology

21 pages

Scientific paper

Homotopy 3-types can be modelled algebraically by Tamsamani's weak
3-groupoids as well as, in the path-connected case, by cat^2-groups. This paper
gives a comparison between the two models in the path-connected case. This
leads to two different semistrict algebraic models of connected 3-types using
the Tamsamani's model. Both are then related to Gray groupoids.

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