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 comma 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 finite 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 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 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).
    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 17th 2012

    I added a section on strictification of pseudofunctors CCatC \to Cat to pseudofunctor, after seeing Finn and Mike respond to Karol in the stable monoidal derivator thread at the Café. The discussion is fairly sketchy and pedestrian. Also added a few references.

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeDec 17th 2012

    Looks good, thanks! I made the statement of the theorem a little more precise: it’s not just an equivalence of categories, but an isomorphism.

    • CommentRowNumber3.
    • CommentAuthorJohn Baez
    • CommentTimeDec 23rd 2020

    Added theorem saying that every pseudofunctor can be “normalized”.

    diff, v27, current

    • CommentRowNumber4.
    • CommentAuthorAlec Rhea
    • CommentTimeMar 5th 2021

    Added definition of composition of pseudofunctors for posterity, changed notation slightly.

    diff, v28, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2023

    added what seems to be the original reference defining pseudofunctors from a 1-category to CatCat:

    with a comment that it’s not yet called “pseudo-functor” there.

    (Curiously, in SGA1 it’s the other way around: the term “pseudo-functor” is used but the definition is not given!?)

    diff, v30, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2023
    • (edited May 7th 2023)

    added pointer to:

    diff, v30, current

    • CommentRowNumber7.
    • CommentAuthornilesjohnson
    • CommentTimeSep 26th 2023

    added a reference

    diff, v31, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeNov 24th 2023

    Mentioned strict pseudofunctors.

    diff, v32, current