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diagonal_functor [2014/09/26 15:35] nikolaj |
diagonal_functor [2014/09/26 15:48] nikolaj |
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==== Discussion ==== | ==== Discussion ==== | ||
- | === Elaboration === | + | === Coherence === |
Note that for constant functors $\Delta_A,\Delta_B$, the square in the definition of a natural transformation commutes trivially. Hence any arrow $f:{\bf C}[A,B]$ gives rise to a natural transformation. | Note that for constant functors $\Delta_A,\Delta_B$, the square in the definition of a natural transformation commutes trivially. Hence any arrow $f:{\bf C}[A,B]$ gives rise to a natural transformation. | ||