From: Mike Stay <metaweta@gmail.com>
To: categories <categories@mta.ca>
Subject: Symmetric monoidal closed natural transformation?
Date: Thu, 29 Jan 2009 19:05:50 -0800 [thread overview]
Message-ID: <E1LSvaI-0002ga-T3@mailserv.mta.ca> (raw)
A symmetric monoidal functor F:C->D is closed if the morphism
c_D(Phi_{x -o y, x}^{-1} o F(c_C^{-1}(1_{x -o y}))):F(x -o y) -> F(x) -o F(y)
is an isomorphism, where x,y in C,
Phi_{x,y}:F(x) tensor F(y) -> F(x tensor y)
and c_C and c_D are currying in C, D.
Could someone give me the definition of a symmetric monoidal closed
natural transformation? I thought it would be a simple commuting
diagram like the one involving Phi, but one of the arrows goes the
wrong way.
--
Mike Stay - metaweta@gmail.com
http://math.ucr.edu/~mike
http://reperiendi.wordpress.com
next reply other threads:[~2009-01-30 3:05 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-01-30 3:05 Mike Stay [this message]
2009-01-30 18:09 Mike Stay
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