Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

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

Bottom of Page

1 to 4 of 4

  1.  
    • 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.

1 to 4 of 4

  1.