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  1. an identity-on-objects functor is not a functor, also explaining its historical roots.

    Anonymous

    diff, v27, current

    • CommentRowNumber2.
    • CommentAuthorHurkyl
    • CommentTimeAug 30th 2022
    • (edited Aug 30th 2022)

    An identity-on-objects functor is not a functor in the same sense that Cat is not the 1-category of categories and functors.

    As such, I don’t think it belongs as an example on this page, since it depends on an uncommon interpretation of the terminology.

    • CommentRowNumber3.
    • CommentAuthormaxsnew
    • CommentTimeAug 30th 2022

    remove identity-on-objects functor, which is not at all the kind of thing this page is describing.

    diff, v28, current