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In category theory, a faithful functor is a functor that is injective on hom-sets, and a full functor is surjective on hom-sets. A functor that has both properties is called a fully faithful functor.
Examples, Formal definitions & Generalization to (∞, 1)-categories
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functor faithful full objects injective fully surjective morphisms category groups properties two underlying group notion categories hom-sets every fx need
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