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Jan 24, 2017 at 14:53 comment added fosco On a separate note, I'm able to "blindly" prove that $L(H \diamond K)^a_c \cong Nat(H^c, L(K)^a) = Ran_H L(K)^a_c$ as a right Kan extension in $\bf Prof$. Your explanation trivializes this result.
Jan 24, 2017 at 14:51 comment added fosco Any reference exhibiting a feeble relation with this construction is welcome! This definition is part of a particularly "concrete" (provided "concrete" is the right adjective here :-) ) construction when $\cal V = $chain complexes or, better, a simplicially co/tensored model category.
Jan 24, 2017 at 14:27 comment added Todd Trimble Thanks! I'm not sure where in the literature this type of thing would be, but I'm sure it's there somewhere.
Jan 24, 2017 at 8:06 comment added fosco That's what I call an answer!
Jan 24, 2017 at 8:06 vote accept fosco
Jan 24, 2017 at 1:51 history edited Todd Trimble CC BY-SA 3.0
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Jan 24, 2017 at 1:39 history answered Todd Trimble CC BY-SA 3.0