26 Jan
2012
26 Jan
'12
7 p.m.
Hi, Let F, G, and H be composable functors. I can define the canonical natural transformation from (H o G) o F to H o (G o F) without relying on the evil fact that (H o G) o F = H o (G o F). I just define it componentwisely: for each X, I take id_(H(G(F(X)))). This works in the bicategory of small categories. But now if F, G and H are 1-cells in any bicategory, how can I define the canonical 2-cell from (H o G) o F to H o (G o F) without relying on the evil fact that (H o G) o F = H o (G o F). Thanks! [For admin and other information see: http://www.mta.ca/~cat-dist/ ]