From: Michael Barr <barr@math.mcgill.ca>
To: Categories list <categories@mta.ca>
Subject: Dual of a monoidal closed category
Date: Mon, 13 Sep 2010 10:19:19 -0400 (EDT) [thread overview]
Message-ID: <E1OvDmQ-0000Gk-MG@mlist.mta.ca> (raw)
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
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
reply other threads:[~2010-09-13 14:19 UTC|newest]
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