Theorems · Inductive type · algebraic geometry
AlgebraicGeometry.SheafedSpace
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max (max u (u_1 + 1)) v)A SheafedSpace C is a topological space equipped with a sheaf of Cs.
- Cited by
- 142 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by201
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Spec.locallyRingedSpaceObjproof · cited by 57
- AlgebraicGeometry.LocallyRingedSpace.restrictproof · cited by 55
- AlgebraicGeometry.LocallyRingedSpace.Hom.toShHomstatement · cited by 31
- AlgebraicGeometry.LocallyRingedSpace.forgetToSheafedSpacestatement · cited by 29
- AlgebraicGeometry.Proj.toLocallyRingedSpaceproof · cited by 26
- AlgebraicGeometry.Spec.sheafedSpaceObjstatement · cited by 24
- AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpacestatement · cited by 24
- AlgebraicGeometry.SheafedSpace.IsOpenImmersionstatement and proof · cited by 23
- AlgebraicGeometry.RingedSpaceproof · cited by 20
- AlgebraicGeometry.Spec.sheafedSpaceMapstatement · cited by 16
Showing the 200 most cited of 201.