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diagonal_functor [2014/09/26 15:35] nikolaj |
diagonal_functor [2014/12/04 22:35] 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. | ||
| Line 17: | Line 17: | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Context === | === Context === | ||
| - | [[Category]] | + | [[Categories]] |
| === Element of === | === Element of === | ||
| [[Functor]] | [[Functor]] | ||
| === Requirements === | === Requirements === | ||
| [[Constant functor]], [[Functor category]] | [[Constant functor]], [[Functor category]] | ||
