Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isSheaf_zariskiTopology_continuousMapPresheaf
∀ (T : Type v) [inst : TopologicalSpace T], CategoryTheory.Presheaf.IsSheaf AlgebraicGeometry.Scheme.zariskiTopology (AlgebraicGeometry.continuousMapPresheaf T)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functor.compproof · cited by 6,529
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.Functor.opproof · cited by 997
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.yonedaproof · cited by 351
- AlgebraicGeometry.Scheme.zariskiTopologystatement and proof · cited by 34
- CategoryTheory.isSheaf_iff_isSheaf_of_typeproof · cited by 30
- AlgebraicGeometry.Scheme.forgetToTopproof · cited by 13
- TopCat.uliftFunctorproof · cited by 11
- CategoryTheory.Presheaf.isSheaf_of_iso_iffproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isSheaf_fpqcTopology_continuousMapPresheafproof · cited by 1