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nLab > Latest Changes: groupoid object in an (infinity,1)-category

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  1. working on writing out how the “inversion” morphism of a groupoid object naturally arises from this structure.

    Jonathan Beardsley

    diff, v54, current

  2. continuing to expand the “computation”

    Jonathan Beardsley

    diff, v54, current

  3. not compiling…

    Jonathan Beardsley

    diff, v54, current

  4. added remark 2.3 which is an attempt to clarify why these things are called groupoid objects at all (in particular, where the inversion map is coming from)

    Jonathan Beardsley

    diff, v54, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTime4 days ago

    Deleted the following fragment, since the erratum points out that what is being constructed is categories with involution, not groupoids:

    Model category presentations of groupoid objects in ∞Grpd\infty Grpd by groupoidal complete Segal spaces are discussed in

    • Julia Bergner,

      Adding inverses to diagrams encoding algebraic structures, Homology, Homotopy and Applications 10 (2008), no. 2, 149–174. (arXiv:0610291)

      Adding inverses to diagrams II: Invertible homotopy theories are spaces, Homology, Homotopy and Applications, Vol. 10 (2008), No. 2, pp.175-193. (web, arXiv:0710.2254)

    diff, v55, current

1 to 5 of 5

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