Semistrict models of connected 3-types and Tamsamani’s weak 3-groupoids |
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Authors: | Simona Paoli |
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Affiliation: | Department of Mathematics, Macquarie University, NSW 2109, Australia |
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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 cat2-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 Tamsamani’s model. Both are then related to Gray groupoids. |
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Keywords: | 55P15 18D05 18G50 |
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