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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 14th 2020

    For completeness I have added pointer to

    though there should really be some accompanying discussion of how this form of the statement is related to the usual one in terms of presheaves.

    diff, v13, current

  1. Added the fact the yoneda embedding is a natural transformation.


    diff, v16, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeMay 24th 2021

    Corrected the explanation of naturality.

    diff, v17, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 9th 2021
    • (edited Oct 9th 2021)

    This old entry needs some attention concerning how it does or does not speak regarding size issues.

    Where the fully faithfulness is stated first (here) the entry does speak as if large \infty-categories are being considered, and I guess it should indeed hold in this generality, but the reference offered, namely HTT Prop., speaks of small \infty-categories (namely simplicial sets, regarded as stand-ins for small quasi-categories).

    Further down under “Naturalness” (here) large \infty-categories are mentioned more explicitly, and that’s now also what the reference considers (HTT, Prop., but neither talks about fully-faithfulness at this point.

    diff, v18, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 9th 2021
    • (edited Oct 9th 2021)

    added pointer to:

    but that also speaks about Yoneda for small \infty-categories…

    diff, v19, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 28th 2022
    • (edited May 28th 2022)

    added pointer to:

    This does seem to be formulated in the generality of large (but locally small, of course) \infty-categories.

    diff, v20, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 8th 2022
    • (edited Jul 8th 2022)

    I have made more explicit in the text pointer to

    for the \infty-Yoneda lemma over possibly large \infty-categories

    for the \infty-Yoneda embedding over possibly large \infty-categories.

    diff, v21, current

    • CommentRowNumber8.
    • CommentAuthorperezl.alonso
    • CommentTimeSep 18th 2023

    Pointer to recent article:

    diff, v24, current

    • CommentRowNumber9.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 15th 2024


    • Shay Ben-Moshe, Uniqueness and (,2)(\infty,2)-Naturality of Yoneda [arXiv:2405.08799]

    diff, v26, current