Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.connectedComponentsHomeomorph_apply
∀ {X S : AlgebraicGeometry.Scheme} (f : X ⟶ S) [inst : AlgebraicGeometry.GeometricallyConnected f] (hf : IsOpenMap ⇑f)
(a : ConnectedComponents ↥X),
(AlgebraicGeometry.Scheme.Hom.connectedComponentsHomeomorph f hf) a = ⋯.connectedComponentsMap a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.