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My feeling was only that the natural transformation should be specified as given, because the functors have to be naturally isomorphic in that way. Isn't that right? If not, then your edits are how the page should be. If so, maybe something like '... naturally isomorphic to
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both have the same idea about how this article should go. I'm happy to let you make the changes above.
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I think it is much clearer to say that a functor is representable if it is naturally isomorphic to Hom(
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Knowledge. If you would like to participate, please visit the project page, where you can join
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Every natural isomorphism will necessarily be of the stated form. To see this let Φ : Hom(
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Ha. You are right of course. The argument I gave above is just one version of
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If it was like that already, I apologize. I can't remember. --
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