Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Opens
AlgebraicGeometry.Scheme → Type u_1
The type of open sets of a scheme.
- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 1,149 results in Mathlib
- Foundations
- Depth 22 from the axioms, rests on 199 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- TopologicalSpace.Opensproof · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierproof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
Cited by1,347
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Opens.toSchemestatement and proof · cited by 433
- AlgebraicGeometry.Scheme.Opens.ιstatement and proof · cited by 275
- AlgebraicGeometry.IsAffineOpenstatement and proof · cited by 222
- AlgebraicGeometry.Scheme.affineOpensstatement and proof · cited by 220
- AlgebraicGeometry.Scheme.Hom.opensFunctorstatement · cited by 204
- AlgebraicGeometry.Scheme.Hom.appstatement and proof · cited by 176
- AlgebraicGeometry.Scheme.basicOpenstatement and proof · cited by 141
- AlgebraicGeometry.Scheme.Hom.appLEstatement and proof · cited by 138
- AlgebraicGeometry.Scheme.Hom.opensRangestatement · cited by 113
- AlgebraicGeometry.Scheme.Hom.appTopstatement · cited by 109
- AlgebraicGeometry.Scheme.ΓSpecIsostatement · cited by 106
- AlgebraicGeometry.Scheme.homOfLEstatement and proof · cited by 103
Showing the 200 most cited of 1,347.