Definition:Injective on Objects

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Definition

Let $\mathbf C$ and $\mathbf D$ be metacategories.

Let $F: \mathbf C \to \mathbf D$ be a functor.


Then $F$ is said to be injective on objects if and only if for all objects $C_1, C_2$ of $\mathbf C$:

$F C_1 = F C_2$ implies $C_1 = C_2$


Also see


Sources