* adjunction of symmetric monoidal closed categories
@ 2009-01-19 19:11 Bockermann Bockermann
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From: Bockermann Bockermann @ 2009-01-19 19:11 UTC (permalink / raw)
To: categories
Dear mathematicians,
I wonder if the following is true. Has anybody a reference, if this is
the case?
Let V and W be two complete and cocomplete symmetric monoidal closed
categories and
L: V <--> W :R
an adjunction of (lax) symmetric monoidal functors. Let D be a small V-
category.
Is it true that there is a V-isomorphism
V-Fun(D,RW) = R(W-Fun(LD,W)) ?
(If not, is this at least the case if L is strict symmetric monoidal?)
Thank you for any help.
Tony
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