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

Simona Paoli*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Pages (from-to)801-820
Number of pages20
JournalJournal of Pure and Applied Algebra
Issue number3
Early online date29 Apr 2007
Publication statusPublished - Dec 2007

Bibliographical note

Funding Information:
I am grateful to Michael Batanin and Clemens Berger for helpful conversations. I also thank the members of the Australian Category Seminar for support and encouragement, and the referee for some remarks on literature sources. This work was supported by an Australian Research Council Postdoctoral Fellowship (project no. DP0558598).


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