Functor Constant functor A constant functor 𝐴𝑇 :𝖢 →𝖣 is a functor that factorizes via the 1――, and therefore maps every object in 𝖢 to an object 𝐴 ∈𝖣 and every morphism to id𝐴. #state/tidy | #lang/en | #SemBr