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    • 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