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nLab > Latest Changes: pseudomonic functor

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 29th 2023
    • (edited Apr 29th 2023)

    added more hyperlinks.

    such as to combinatorial species and to 2-pullback

    diff, v13, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 14th 2023

    added pointer to:

    diff, v15, current

    • CommentRowNumber3.
    • CommentAuthormattecapu
    • CommentTimeSep 22nd 2023

    Added remark about essential injectivity

    diff, v17, current

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeSep 22nd 2023

    Corrected the link to essentially injective functor. Not sure why it was pointing to essentially surjective functor instead?

    diff, v18, current

  5. Removed the sentence “In fact, being full on isomorphisms is exactly what essential injectivity means.”

    In fact, essential injectivity is a weaker statement, namely that FA≅FBFA\cong FB implies A≅BA\cong B.

    Jonas Frey

    diff, v19, current

    • CommentRowNumber6.
    • CommentAuthorncfavier
    • CommentTimeMar 18th 2024

    Added a reference to On property-like structures by Kelly

    diff, v20, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMar 18th 2024
    • (edited Mar 18th 2024)

    added pointer to the original:

    diff, v21, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeMar 18th 2024

    I moved this remark (from rev 10) out of the Examples-section to after the main definition:

    Arguably, pseudomonic functors are precisely the functors for which it makes sense to say that AA is uniquely determined by FAF A up to unique isomorphism. However, we do not really need faithfulness for this; bijectivity on isos suffices.

    But the wording needs adjustment: It makes no sense to first claim it is “precisely” so only to then say that it is not actually so.

    diff, v21, current

1 to 8 of 8

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