Theorems · Definition · algebraic geometry
AlgebraicGeometry.PresheafedSpace.toRestrictTop
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → (X : AlgebraicGeometry.PresheafedSpace C) → X ⟶ X.restrict ⋯The map to the restriction of a presheafed space along the canonical inclusion from the top subspace.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- Top.topstatement · cited by 9,680
- CategoryTheory.Iso.invproof · cited by 6,514
- TopCat.carrierstatement · cited by 3,184
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- TopCatstatement · cited by 1,889
- CategoryTheory.eqToHomproof · cited by 860
- AlgebraicGeometry.PresheafedSpacestatement and proof · cited by 260
- TopologicalSpace.Opens.toTopCatstatement · cited by 81
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.PresheafedSpace.restrictTopIsoproof · cited by 2
- AlgebraicGeometry.PresheafedSpace.toRestrictTop_basestatement and proof · cited by 0
- AlgebraicGeometry.PresheafedSpace.toRestrictTop_cstatement and proof · cited by 0
- AlgebraicGeometry.SheafedSpace.restrictTopIso_invstatement · cited by 0
- AlgebraicGeometry.PresheafedSpace.restrictTopIso_invstatement · cited by 0