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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 11th 2009

    created (finally) lax monoidal functor (redirecting monoidal functor to that) and strong monoidal functor.

    Hope I got the relation to 2-functors right. I remember there was some subtlety to be aware of, but I forget which one. I could look it up, but I guess you can easily tell me.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 11th 2009

    Ah, I thought better of it and have everything now just at monoidal functor

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 8th 2016

    The definition at monoidal functor used to be stated without the associators, but then there were a dozen lines of commentary on how to put them in.

    Now I have just put them in. :-)

    • CommentRowNumber4.
    • CommentAuthorPeter Heinig
    • CommentTimeJul 18th 2017
    • (edited Jul 18th 2017)

    Is the definition of lax monoidal functor between monoidal bicategories in the sense of Gordon–Power–Street already documented on the nLab?

    Remarks. monoidal functor appears to be about monoidal categories only. Motivation is partly studying Chapter 13 of Garner–Shulman Adv Math 289.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 18th 2017
    • (edited Jul 18th 2017)

    Is the definition of lax monoidal functor between monoidal bicategories in the sense of Gordon–Power–Street already documented on the nLab?

    It seems that this is not the case.

    monoidal functor appears to be about monoidal categories only.

    And that’s how it should be. The concept for monoidal 2-categories should go under monoidal 2-functor.

    • CommentRowNumber6.
    • CommentAuthorvarkor
    • CommentTimeSep 19th 2021

    Define strict monoidal functors. There is an existing redirect for this term, but it was not defined.

    diff, v45, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2021
    • (edited Sep 19th 2021)

    replaced “identities” with “identity morphisms” (here)

    diff, v46, current

    • CommentRowNumber8.
    • CommentAuthorJ-B Vienney
    • CommentTimeNov 16th 2022

    Changed a little bit the presentation of the definition by distinguishing the functor and the coherence maps

    diff, v47, current

    • CommentRowNumber9.
    • CommentAuthormaxsnew
    • CommentTimeApr 20th 2023

    x-ref with the article on change of base for enriched categories

    diff, v48, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMay 20th 2023

    added pointer to:

    diff, v49, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeJun 4th 2023

    added pointer to:

    diff, v50, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2023
    • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeFeb 18th 2024

    Unclear what “calvin lee” in #13 really did. The edit history shows no change (so he might have edited the redirects or the like, which isn’t caught by the edit history).

  1. Added some relationships between various categories of monoidal categories.

    Aaron David Fairbanks

    diff, v54, current