“Universal homeomorphism”的意思、由来-开放百科全书

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Universal homeomorphism

释义

References
External links

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

1. ^EGA IV₄, 18.12.11.

{{EGA|book=4-4}}

External links

https://mathoverflow.net/questions/47212/universal-homeomorphisms-and-the-étale-topology
https://mathoverflow.net/questions/11000/do-pushouts-along-universal-homeomorphisms-exist

2 : Homeomorphisms|Morphisms of schemes

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