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nLab > Latest Changes: monadic functor

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  1.  
    • CommentRowNumber1.
    • CommentAuthorAlec Rhea
    • CommentTimeJan 31st 2019

    The link for ’equivalent’ at the top redirected to natural isomorphism which (as I understand it) is the correct 1-categorical version of an equivalence of functors, but this initially lead me to believe that a functor was monadic iff it was naturally isomorphic to a forgetful functor from the Eilenberg-Moore category of a monad on its codomain, which would mean that the domain of the functor was literally the Eilenberg-Moore category of some adjunction since natural isomorphism is only defined for parallel functors.

    diff, v19, current

    • CommentRowNumber2.
    • CommentAuthorAlec Rhea
    • CommentTimeJan 31st 2019

    I also added a few words in the definition section that seemed to be missing, apologies for the double post.

  3. No problem, I have tidied up the postings :-).

    • CommentRowNumber4.
    • CommentAuthorAlec Rhea
    • CommentTimeJan 31st 2019

    Much appreciated!

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