From: maxk@maths.usyd.edu.au (Max Kelly)
To: baez@math.ucr.edu, categories@mta.ca
Subject: Re: tensor product of categories
Date: Thu, 26 Mar 1998 15:27:09 +1100 (EST) [thread overview]
Message-ID: <199803260427.PAA30662@milan.maths.usyd.edu.au> (raw)
This is in response to John Baez' query:
Where can I read about the "tensor product" of cocomplete categories?
(Hopefully this is a sensible and self-explanatory concept.)
Or variations on this theme involving categories with coproducts,
or finite colimits, or finite coproducts?
I can think of three things of mine in print which are relevant:
\item"{[35]}" (with F. Foltz and C. Lair) Algebraic categories with few
monoidal biclosed structures or none, {\it Jour. Pure and Applied Alg.} 17
(1980), 171-177.
(the last section or so of)
\item"{[41]}" Structures defined by finite limits in the enriched context I,
{\it Cahiers de Top. et G\'eom. Diff.} 23 (1982), 3-42.
\item"{[52]}" (with G.B. Im) A universal property of the convolution monoidal
structure, {\it J. Pure Appl. Algebra} 43 (1986), 75-88.
Much of this kind of thing is folklore; when one uses "left adjoint" rather
than "cocontinuous", some speak of considering "objects in two categories" -
see the first paper above.
Max Kelly.
next reply other threads:[~1998-03-26 4:27 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
1998-03-26 4:27 Max Kelly [this message]
-- strict thread matches above, loose matches on Subject: below --
1998-03-24 20:25 john baez
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