Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.zariskiTopology
CategoryTheory.GrothendieckTopology AlgebraicGeometry.Scheme
The Zariski topology on the category of schemes.
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- AlgebraicGeometry.IsOpenImmersionproof · cited by 476
- AlgebraicGeometry.Scheme.grothendieckTopologyproof · cited by 7
Cited by42
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.LocalRepresentability.glueDatastatement and proof · cited by 13
- AlgebraicGeometry.Scheme.GlueData.oneHypercoverstatement · cited by 8
- AlgebraicGeometry.Scheme.LocalRepresentability.toGluedstatement and proof · cited by 5
- AlgebraicGeometry.Scheme.LocalRepresentability.yonedaGluedToSheafstatement and proof · cited by 4
- AlgebraicGeometry.Scheme.GlueData.sheafValGluedMkstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.affineOneHypercoverstatement · cited by 2
- AlgebraicGeometry.Scheme.LocalRepresentability.yoneda_toGlued_yonedaGluedToSheafstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.LocalRepresentability.representableBystatement and proof · cited by 1
- AlgebraicGeometry.Scheme.GlueData.sheafValGluedMk_valstatement and proof · cited by 1
- AlgebraicGeometry.preservesLimitsOfShape_discrete_of_isSheaf_zariskiTopologystatement and proof · cited by 1
- AlgebraicGeometry.Scheme.Cover.isSheafFor_sigma_iffstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.zariskiTopology_le_propQCTopologystatement · cited by 1