morphism in a sentence

Examples

1. Such a function is called a 2-valued morphism.
2. A morphism which is invertible in this sense is called an isomorphism.
3. Let f : X \ to Y be a morphism of schemes.
4. Under the forgetful functor, this morphism yields the identity.
5. In algebraic geometry, the analogous concept is called a proper morphism.
6. A quasi-finite proper morphism locally of finite presentation is finite.
7. This morphism is birational for of dimension at most 2.
8. In particular, the natural homomorphism is a dependency morphism.
9. The pushforward is the morphism corresponding to the homology functor.
10. Sometimes a fpqc morphism means one that is faithfully flat and quasicompact.