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nLab > Latest Changes: finitely complete (infinity,1)-category

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  1. stub

    Jordan

    v1, current

    • CommentRowNumber2.
    • CommentAuthorHurkyl
    • CommentTimeJul 6th 2023
    • (edited Jul 6th 2023)

    Changed “homotopy fiber products” to “(∞,1)-fiber products”, since the article is about the notion in an (∞,1)-category rather than its avatar in a model.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeJul 6th 2023
    • (edited Jul 6th 2023)

    What is a “setoid object” in an (∞,1)-category? In this context and without checking the details, I would expect that groupoid object in an (∞,1)-category would be the relevant notion here, since equivalence groupoids are the analog of equivalence relations.

  4. The setoid stuff is on the wrong page. When people talk about setoids being the (homotopy) exact completion of types in type theory, they are referring to path categories, i.e. as defined in van der Berg & Moerdijk, not ∞\infty-categories.

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