Universal homeomorphism
In algebraic geometry, a universal homeomorphism is a morphism of schemes such that, for each morphism , the base change is a homeomorphism of topological spaces.
A morphism of schemes is a universal homeomorphism if and only if it is integral, radicial and surjective.[1] In particular, a morphism of locally of finite type is a universal homeomorphism if and only if it is finite, radicial and surjective.
For example, an
absolute Frobenius morphism
is a universal homeomorphism.
References
- ^ EGA IV4, 18.12.11.
- MR 0238860.