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Constant functor
Functor
| context | ${\bf C},{\bf D}$ … category |
| context | $D:\mathrm{Ob}_{\bf D}$ |
| definiendum | $(\Delta D):{\bf C}\longrightarrow{\bf C}^{\bf D}$ |
| definition | $(\Delta D)\,C:=D$ |
| definition | $(\Delta D)(f):=\mathrm{id}_D$ |
Discussion
Reference
Wikipedia: Diagonal functor
nLab: constant functor
Parents
Element of
