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Timeline for A Question on Auto-Adjoint functors

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Sep 3, 2012 at 22:07 comment added Tom Leinster Next question: suppose we have a functor $F$ that's self-adjoint on the right. Is it always possible to choose an adjunction between $F$ and $F^{op}$ in which the unit is the same as the counit? (Todd's example doesn't settle it, since we could take both unit and counit to be 1.) I can't quite be bothered to pose this formally as a Question, partly because I haven't spent long enough thinking about it -- maybe it's an easy "yes". But anyone else should feel free.
Sep 3, 2012 at 21:16 comment added Buschi Sergio Thank you very much. I thinked this problem about the definition of category with duality of "QUadratic and Hermitian Forms over Rings" by Max-ALbert Knus.
Sep 3, 2012 at 13:37 comment added Tom Leinster Nice example!
Sep 3, 2012 at 13:21 history undeleted Todd Trimble
Sep 3, 2012 at 13:21 history edited Todd Trimble CC BY-SA 3.0
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Sep 3, 2012 at 12:51 history deleted Todd Trimble
Sep 3, 2012 at 12:42 history answered Todd Trimble CC BY-SA 3.0