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

Simona Paoli

    Research output: Contribution to journalArticle

    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
    DOIs
    Publication statusPublished - 2007

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