* Dual of a monoidal closed category
@ 2010-09-13 14:19 Michael Barr
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From: Michael Barr @ 2010-09-13 14:19 UTC (permalink / raw)
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Is it common knowledge that the dual of a monoidal closed category is also
monoidal closed (at least in the symmetric case, but I don't think that
matters). If you denote tensor by @ and hom by --o, then define a dual
hom by A --x B = (A* --o B*)* and a dual tensor by A # B = (A* @ B*)*
where * is the contravariant equivalence. The proof that this works is
trivial. What it means is another matter entirely. Right now, I just
would like to know if this is commonly known.
Michael
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