30 Jan
2009
30 Jan
'09
3:05 a.m.
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