Chevalley's theorem on constructible sets
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Noetherian_schemes
morphisms of finite type |
| gptkbp:consequence |
images of morphisms are not necessarily open or closed, but are constructible
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:importantFor |
fundamental in algebraic geometry
|
| gptkbp:namedAfter |
gptkb:Claude_Chevalley
|
| gptkbp:publishedIn |
Chevalley, C. (1946), 'On the theory of local rings'
|
| gptkbp:relatedConcept |
gptkb:Noetherian_ring
gptkb:scheme constructible set morphism of schemes |
| gptkbp:sentence |
The image of a morphism of finite type between Noetherian schemes is a constructible set.
|
| gptkbp:bfsParent |
gptkb:Chevalley_theorem
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chevalley's theorem on constructible sets
|