Theorems · Definition · algebraic geometry
AlgebraicGeometry.PresheafedSpace.Hom.base
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → {X Y : AlgebraicGeometry.PresheafedSpace C} → X.Hom Y → (↑X ⟶ ↑Y)- Cited by
- 1,135 results in Mathlib
- Foundations
- Depth 19 from the axioms, rests on 80 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.PresheafedSpacestatement and proof · cited by 260
- AlgebraicGeometry.PresheafedSpace.Homstatement and proof · cited by 32
Cited by1,309
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.appstatement · cited by 176
- AlgebraicGeometry.PresheafedSpace.Hom.cstatement · cited by 142
- AlgebraicGeometry.Scheme.Hom.appLEstatement and proof · cited by 138
- AlgebraicGeometry.Scheme.Hom.opensRangeproof · cited by 113
- AlgebraicGeometry.morphismRestrictstatement · cited by 90
- AlgebraicGeometry.Scheme.Hom.stalkMapstatement · cited by 82
- AlgebraicGeometry.Scheme.Hom.resLEstatement and proof · cited by 45
- AlgebraicGeometry.Scheme.Hom.continuousstatement and proof · cited by 41
- AlgebraicGeometry.PresheafedSpace.Hom.stalkMapstatement and proof · cited by 40
- AlgebraicGeometry.Scheme.Hom.preimage_image_eqstatement and proof · cited by 37
- AlgebraicGeometry.Scheme.isBasis_affineOpensproof · cited by 37
- AlgebraicGeometry.topologicallyproof · cited by 35
Showing the 200 most cited of 1,309.