From: Rotwang on 21 Jan 2010 15:13 Hi all Suppose that F, G are functors D -> C, and that t is a natural transformation from F to G which is monic in the functor category C^D. Can it be shown that each component t_d of t is monic in C? If not in general, how about the special case where C is the category of sets?
From: Rotwang on 21 Jan 2010 15:32 Rotwang wrote: > Hi all > > Suppose that F, G are functors D -> C, and that t is a natural > transformation from F to G which is monic in the functor category C^D. > Can it be shown that each component t_d of t is monic in C? If not in > general, how about the special case where C is the category of sets? Never mind, I figured it out.
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