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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 17th 2010
    • (edited Mar 13th 2012)

    polsihed the defnition at Segal category slightly and added a remark on how composition here is an infinity-anafunctor.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 13th 2012

    have touched Segal category again, expanding Idea and Definition a little more and adding a stubby Properties-section.

  1. Corrected reference to Dwyer/Kan/Smith paper. the name Segal category was not introduced in that paper.

    Jonas Frey

    diff, v30, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 12th 2023
    • (edited Aug 12th 2023)


    (The claim originated with revision 6.)

    So I have moved the item

    up in the list into chronological order. Is this the origin of the terminology “Segal categories”? (It’s remarkable that later authors use the term without citing where they got it from.)

    Also touched the wording around these bibitems and added more DOI-links, throughout.

    diff, v31, current

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeAug 15th 2023
    • (edited Aug 15th 2023)

    4: very likely. Term Segal condition is more classical but this setup for higher categories has definitely been developed by the Nice school (Université Nice-Sophia-Antipolis) of algebraic geometry whose seniors at the time were Simpson and Hirschowitz. But other pioneers of higher categories who compared approaches like Baez and Leinster could also possibly say about this history.