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  1. stub article for regular infinity categories

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 17th 2021

    Thanks. I have just changed the “floating context menu” from “Higher category theory” to “\infty-Category theory”.

    By the way, are you introducing the notion here, or should the page cite a reference?

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeMay 17th 2021
    • (edited May 17th 2021)

    Huh. I would have thought you’d want to capture the notion of relation rather than the notion of epi-mono factorization.

    That is, I would have generalized the notion as a finitely complete category with the property that groupoids are effective, and that pullbacks preserve geometric realizations (or maybe just geometric realizations of groupoids). I actually thought about creating such a stub myself.

    Is there a relation between the two different ideas?

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 17th 2021

    It’s not clear whether the nn in the definition is meant to vary over all n0n\geq 0, or if just one value of nn is needed.

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