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Dec 19, 2022 at 21:50 comment added Alec Rhea @D.R. This would be an instance of inspecting one of the appropriate adjoint functor theorem proofs and subbing in the tensor functor in place of the arbitrary left adjoint, then examining how it’s used to define the right adjoint. I’ll edit with details some time in the next few weeks.
Dec 19, 2022 at 7:09 comment added D.R. I don't really see how the e.g. hom functor is "the tensor functor plus some canonical additional structure", or vice versa. Do you have some intuition on this example?
Jul 17, 2019 at 22:11 history answered Alec Rhea CC BY-SA 4.0