Theorems · Definition · algebraic geometry
AlgebraicGeometry.PresheafedSpace.presheaf
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → (self : AlgebraicGeometry.PresheafedSpace C) → TopCat.Presheaf C ↑self- Cited by
- 1,104 results in Mathlib
- Foundations
- Depth 26 from the axioms, rests on 151 definitions · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- TopCat.Presheafstatement · cited by 371
- AlgebraicGeometry.PresheafedSpacestatement and proof · cited by 260
Cited by1,305
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.appstatement · cited by 176
- AlgebraicGeometry.PresheafedSpace.Hom.cstatement · cited by 142
- AlgebraicGeometry.Scheme.basicOpenstatement and proof · cited by 141
- AlgebraicGeometry.Scheme.Hom.appLEstatement and proof · cited by 138
- AlgebraicGeometry.Scheme.Hom.appTopstatement · cited by 109
- AlgebraicGeometry.Scheme.ΓSpecIsostatement · cited by 106
- AlgebraicGeometry.Scheme.residueFieldproof · cited by 95
- AlgebraicGeometry.Scheme.IdealSheafData.idealstatement · cited by 88
- AlgebraicGeometry.Scheme.Hom.stalkMapstatement · cited by 82
- AlgebraicGeometry.IsAffineOpen.fromSpecstatement · cited by 65
- AlgebraicGeometry.Scheme.zeroLocusstatement and proof · cited by 60
- AlgebraicGeometry.Scheme.toSpecΓstatement · cited by 59
Showing the 200 most cited of 1,305.