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

Simona Paoli
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Abstract

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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Simona Paoli. 2006-07-14. Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids. https://arxiv.org/abs/math/0607330

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