Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.restrictFunctor
(X : AlgebraicGeometry.Scheme) → CategoryTheory.Functor X.Opens (CategoryTheory.Over X)
The functor taking open subsets of X to open subschemes of X.
- Defined in
- Mathlib.AlgebraicGeometry.Restrict
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
- CategoryTheory.Overstatement · cited by 935
- AlgebraicGeometry.Scheme.Opens.ιproof · cited by 275
Cited by9
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.restrictFunctorΓstatement · cited by 3
- AlgebraicGeometry.Scheme.AffineZariskiSite.restrictIsoSpecstatement · cited by 2
- AlgebraicGeometry.Scheme.AffineZariskiSite.restrictIsoSpec_hom_appstatement · cited by 0
- AlgebraicGeometry.Scheme.AffineZariskiSite.restrictIsoSpec_inv_appstatement · cited by 0
- AlgebraicGeometry.Scheme.restrictFunctor_map_leftstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.restrictFunctor_obj_homstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.restrictFunctor_obj_leftstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.restrictFunctorΓ_hom_appstatement · cited by 0
- AlgebraicGeometry.Scheme.restrictFunctorΓ_inv_appstatement · cited by 0