functor in a sentence

Examples

1. This allows the entire chain complex to be treated as a functor.
2. Under the forgetful functor, this morphism yields the identity.
3. This gives a contravariant functor from manifolds to abelian groups.
4. This functor is left adjoint to the corresponding forgetful functor.
5. This functor is left adjoint to the corresponding forgetful functor.
6. The most important examples of subfunctors are subfunctors of the Hom functor.
7. The functor returns a structure that follows the ORD _ MAP interface.
8. The pushforward is the morphism corresponding to the homology functor.
9. Every flat resolution is acyclic with respect to this functor.
10. A continuous functor sends covering sieves to covering sieves.