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Atrium > Mathematics, Physics & Philosophy: Yoneda Lemma for (infinity,1)-categories

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    • CommentRowNumber1.
    • CommentAuthorHarry Gindi
    • CommentTimeDec 27th 2009
    Yoneda lemma for (infinity,1)-categories is apparently wrong according to this question I asked on Mathoverflow. I am not really comfortable fixing it, but a proof was given in the link below for quasicategories and topological categories.

    http://mathoverflow.net/questions/9737/the-yoneda-lemma-for-oo-1-categories
    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeDec 27th 2009

    I added in some vague wording, referencing that MathOverflow question's answers.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 28th 2009

    The statement at the entry was never wrong, I think. It did take care to state what should be true and then mentioned an aspect of this as a fact. This doesn't preclude that more is true, indeed. But certainly the entry was very stubby.

    So thanks for asking on mathoverflow. Hopefully somebody finds the energy to incorporate the good answers given there into the entry! Harry, how about you?

    • CommentRowNumber4.
    • CommentAuthorHarry Gindi
    • CommentTimeDec 29th 2009
    Ah, I was under the impression that there was some barrier to proving the whole thing, but I guess I was a bit strong when saying that the entry was "wrong". Anyway, as I noted in my first post, I don't really feel comfortable changing the entry myself, as I don't really understand the proofs that were given (I'm not far enough through HTT for those to make any sense). I'd copy the proofs directly from MO with permission from the authors, but apart from that, I think someone who understands the subject matter would be a better candidate to write the article.

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