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

Simona Paoli

doi:10.1016/j.jpaa.2007.04.006

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

Simona Paoli

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	801-820
Number of pages	20
Journal	Journal of Pure and Applied Algebra
Volume	211
Issue number	3
DOIs	https://doi.org/10.1016/j.jpaa.2007.04.006
Publication status	Published - 2007

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10.1016/j.jpaa.2007.04.006

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title = "Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids",

abstract = "Homotopy 3-types can be modelled algebraically by Tamsamani{\textquoteright}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{\textquoteright}s model. Both are then related to Gray groupoids.",

author = "Simona Paoli",

year = "2007",

doi = "10.1016/j.jpaa.2007.04.006",

language = "English",

volume = "211",

pages = "801--820",

journal = "Journal of Pure and Applied Algebra",

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publisher = "Elsevier",

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T1 - Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids

AU - Paoli, Simona

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/34447618230

U2 - 10.1016/j.jpaa.2007.04.006

DO - 10.1016/j.jpaa.2007.04.006

M3 - Article

SN - 0022-4049

VL - 211

SP - 801

EP - 820

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

ER -

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

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