Definition:Surjective on Objects

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 surjective on objects iff:


 * For every object $D$ of $\mathbf D$, there is an object $C$ of $\mathbf C$ such that $F C = D$.

Also see

 * Injective on Objects
 * Surjective on Morphisms
 * Full Functor