Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.fppfTopology
CategoryTheory.GrothendieckTopology AlgebraicGeometry.Scheme
The fppf topology on the category of schemes is topology generated by the fppf precoverage.
- Defined in
- Mathlib.AlgebraicGeometry.Sites.Fpqc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Precoverage.toGrothendieckproof · cited by 41
- AlgebraicGeometry.Scheme.fppfPrecoverageproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.fppfTopology_le_fpqcTopologystatement · cited by 0