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    • CommentRowNumber1.
    • CommentAuthorThomas Holder
    • CommentTimeApr 22nd 2023

    Ungreyed a link.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023

    Where the Idea-section mentions “Q n+1 opQ_{n+1}^{op}” it should say what these symbols refers to. I added a link to quaternion group.

    The grammar of the first sentence in the Definition-section seemed broken. I have tried to fix it, but please check if it is as intended.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023

    In the Definition (here) I suppose you mean to say that the subcategory which Δ\Delta forms is (non-full and) wide (to make clear that there are no further objects)? I have made the edit, but please check.

    Also I have replaced “every morphism is a product of” by “every morphism can be factored as”.

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorThomas Holder
    • CommentTimeApr 23rd 2023

    Added references to

    • {#Spalinski95}Jan Spaliński, Homotopy theory of dihedral and quaternionic sets, Topology 39 (1995) pp.35-52.

    • {#Balchin18}Scott Balchin, Homotopy of planar Lie group equivariant presheaves, J. Homotopy Relat. Struct. 13 (2018) pp.555-580. (doi)

    as well as some minor terminological fine(r) tuning.

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorThomas Holder
    • CommentTimeApr 27th 2023

    Mentioned that ΔQ\Delta Q is an Eilenberg-Zilber category.

    diff, v8, current