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Dec 6, 2016 at 12:20 comment added HeinrichD Look for adjunctions with parameters in Mac Lane's book. It is pretty standard.
Dec 6, 2016 at 8:34 comment added fosco Even if the terminology is quite surpassed, I suggest you to look at Gray's paper "Closed categories, lax limits and homotopy limits" and in particular Def 1.1 and the characterization of a "THC situation" as a triple of functors ${\bf A}\to \text{LAdj}({\bf C}, {\bf B})$, ${\bf B}\to \text{LAdj}({\bf C}, {\bf A})$, ${\bf C}\to \text{RAdj}({\bf B}, {\bf A})$.
Dec 5, 2016 at 21:56 comment added Mike Shulman Internal homs are a "two-variable adjunction": ncatlab.org/nlab/show/two-variable+adjunction
Dec 5, 2016 at 15:43 history asked Mathemologist CC BY-SA 3.0