Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.precoverage
CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme → CategoryTheory.Precoverage AlgebraicGeometry.Scheme
The precoverage on Scheme induced by P is given by jointly surjective families of
P-morphisms.
- Cited by
- 336 results in Mathlib
- Foundations
- Depth 104 from the axioms, rests on 1,363 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Precoveragestatement · cited by 204
- CategoryTheory.MorphismProperty.precoverageproof · cited by 23
- AlgebraicGeometry.Scheme.jointlySurjectivePrecoverageproof · cited by 1
Cited by453
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.OpenCoverproof · cited by 207
- AlgebraicGeometry.Scheme.Cover.LocallyDirectedstatement · cited by 63
- AlgebraicGeometry.Scheme.Cover.transstatement and proof · cited by 43
- AlgebraicGeometry.Scheme.Pullback.vstatement · cited by 34
- AlgebraicGeometry.Scheme.Cover.pullbackHomstatement and proof · cited by 32
- AlgebraicGeometry.Scheme.Pullback.gluingstatement · cited by 30
- AlgebraicGeometry.Scheme.Cover.ColimitGluingDatastatement · cited by 26
- AlgebraicGeometry.Scheme.Cover.Overstatement · cited by 23
- AlgebraicGeometry.Scheme.Pullback.fVstatement · cited by 21
- AlgebraicGeometry.Scheme.Pullback.t'statement · cited by 20
- AlgebraicGeometry.Scheme.Cover.hom_extstatement · cited by 18
- AlgebraicGeometry.Scheme.Pullback.p1statement · cited by 18
Showing the 200 most cited of 453.