Theorems · Definition · algebraic geometry
AlgebraicGeometry.PresheafedSpace.carrier
{C : Type u_1} → [inst : CategoryTheory.Category.{v_1, u_1} C] → AlgebraicGeometry.PresheafedSpace C → TopCat- Cited by
- 2,020 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.PresheafedSpacestatement and proof · cited by 260
Cited by2,470
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Opensproof · cited by 1,149
- AlgebraicGeometry.PresheafedSpace.Hom.basestatement · cited by 1,135
- AlgebraicGeometry.PresheafedSpace.presheafstatement · cited by 1,104
- AlgebraicGeometry.Scheme.Hom.opensFunctorstatement · cited by 204
- AlgebraicGeometry.Scheme.Hom.appstatement · cited by 176
- AlgebraicGeometry.PresheafedSpace.Hom.cstatement · cited by 142
- AlgebraicGeometry.Scheme.basicOpenstatement · cited by 141
- AlgebraicGeometry.Scheme.Hom.appLEstatement · cited by 138
- AlgebraicGeometry.LocallyRingedSpace.toTopCatproof · cited by 128
- AlgebraicGeometry.Scheme.Hom.appTopstatement · cited by 109
- AlgebraicGeometry.Scheme.ΓSpecIsostatement · cited by 106
- AlgebraicGeometry.Scheme.homOfLEstatement · cited by 103
Showing the 200 most cited of 2,470.