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)

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 languageEnglish
Pages (from-to)801-820
Number of pages20
JournalJournal of Pure and Applied Algebra
Volume211
Issue number3
Early online date29 Apr 2007
DOIs
Publication statusPublished - Dec 2007

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