## Smart answer:

# Your search for *′What is the counterpart to injective maps′* returned the following results:

### surjective maps

The counterpart to injective maps are surjective maps (every element of the target is mapped onto), such as the canonical map G

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### the monomorphisms

The epimorphisms in Set are the surjective maps, the monomorphisms are the injective maps, and the isomorphisms are the bijective maps.

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