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  1. Added missing parentheses.

    Anonymous

    diff, v11, current

    • CommentRowNumber2.
    • CommentAuthorvarkor
    • CommentTimeMay 25th 2022

    Mention left- and right-strengths.

    diff, v12, current

    • CommentRowNumber3.
    • CommentAuthorvarkor
    • CommentTimeMay 3rd 2023

    Add some cross-references.

    diff, v15, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2023

    adjusted the Idea-paragraph

    in particular I added a line that VV-strong functors make sense between VV-tensored VV-enriched categories

    and hence deleted this sentence further down:

    The first thing to notice about (covariant) tensorial strengths is that they attach to a functor from a monoidal category to itself, say T:VVT: V \to V. (The concept doesn’t make much immediate sense if TT is a functor between different monoidal categories.)

    added pointer to:

    diff, v17, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2023

    Added the warning (here) that Kock 1972 said “strong functor” for “enriched functor”

    diff, v18, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2023

    I have given the paragraphs alluding to some work by C. S. Peirce an Examples-environment (here) but it remains a little mysterious without further details or references.

    In the course of this, I have taken the liberty of deleting this lead-in paragraph:

    There’s rather a lot more one could say about strengths, and I may come back to more of that later, but I would like to say that strengths are kind of a trade secret. The first mathematician I know of who intuitively grasped strength was C.S. Peirce!

    diff, v18, current