Talk:Category of functors

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Revision as of 16:55, 18 December 2007 by imported>Giovanni Antonio DiMatteo (New page: It would be cool if someone could make a nice computer drawing like as follows, to explain the idea of natural transformation: you have a big circle in the lower left, it vaguely represent...)
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It would be cool if someone could make a nice computer drawing like as follows, to explain the idea of natural transformation: you have a big circle in the lower left, it vaguely represents the category somehow... and a big circly in the upper right representing D somehow... to "know" a functor is to know what it does to arrows, so fix an arrow f in C (draw it) then in D you have two arrows... F(f) and G(f)... so a natural transformation should be comparing these two arrows... i.e., we'd need morphisms making the square commute. (so those would go from F to G with dashed lines or something. I dunno, I think it could be visually helpful.