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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

1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexWhere can I find a reference for the fact that a natural transformation between $(\infty,1)$-categories which is levelwise an equivalence is necessarily an equivalence in the functor $(\infty,1)$-category?

   Where can I find a reference for the fact that a natural transformation between $(\infty,1)$-categories which is levelwise an equivalence is necessarily an equivalence in the functor $(\infty,1)$-category?

2. • CommentRowNumber2.
   • CommentAuthorKarol Szumiło
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Karol Szumiło
   Format: MarkdownItexJoyal _The Theory of Quasi-Categories and its Applications_ Chapter 5, Theorem C

   Joyal The Theory of Quasi-Categories and its Applications Chapter 5, Theorem C

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexWhere can I get a copy of that? All the links I can find are broken.

   Where can I get a copy of that? All the links I can find are broken.

4. • CommentRowNumber4.
   • CommentAuthorKarol Szumiło
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Karol Szumiło
   Format: MarkdownThis one works: mat.uab.cat/~kock/crm/hocat/advanced-course/Quadern45-2.pdf

   This one works: mat.uab.cat/~kock/crm/hocat/advanced-course/Quadern45-2.pdf

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Urs
   Format: MarkdownItexAh, thanks for that link! That finally allowed me now to patch the links in the $n$Lab entries accordingly...

   Ah, thanks for that link! That finally allowed me now to patch the links in the $n$Lab entries accordingly…

6. • CommentRowNumber6.
   • CommentAuthorMike Shulman
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI get "connection timed out" with that one.

   I get “connection timed out” with that one.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeMay 15th 2013
   • (edited May 15th 2013)
   • PermaLink
   Author: Urs
   Format: MarkdownItexIt works for me... I have sent you an email now.

   It works for me…

   I have sent you an email now.

8. • CommentRowNumber8.
   • CommentAuthorMike Shulman
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexThanks. I've added this result to [[functor (infinity,1)-category]].

   Thanks. I’ve added this result to functor (infinity,1)-category.

9. • CommentRowNumber9.
   • CommentAuthorZhen Lin
   • CommentTimeMay 15th 2013
   • PermaLink
   Author: Zhen Lin
   Format: MarkdownItexSince it's been brought up, what was Part I of Quadern 45? I'm guessing it was a draft for what eventually became _Simplicial methods for operads and algebraic geometry_...

   Since it’s been brought up, what was Part I of Quadern 45? I’m guessing it was a draft for what eventually became Simplicial methods for operads and algebraic geometry…

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMay 16th 2013
    • (edited May 16th 2013)
    • PermaLink
    Author: Urs
    Format: MarkdownItexYes. Originally also André Joyal's text was supposed to be part of [that book](http://bookos.org/book/1219494/8bd55b), but then that part wasn't finalized and eventually the book appeared with just two of the contributions.

    Yes. Originally also André Joyal’s text was supposed to be part of that book, but then that part wasn’t finalized and eventually the book appeared with just two of the contributions.