Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.propQCTopology
CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme → CategoryTheory.GrothendieckTopology AlgebraicGeometry.Scheme
The P-qc-topology on the category of schemes wrt. to a morphism property P is the
topology generated by quasi-compact covers satisfying P.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 152 from the axioms · 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.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Precoverage.toGrothendieckproof · cited by 41
- AlgebraicGeometry.Scheme.propQCPrecoverageproof · cited by 10
Cited by8
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.zariskiTopology_le_propQCTopologystatement · cited by 1
- AlgebraicGeometry.Scheme.Cover.mem_propQCTopologystatement · cited by 1
- AlgebraicGeometry.Scheme.fpqcTopology_eq_propQCTopologystatement · cited by 1
- AlgebraicGeometry.isSheaf_type_propQCTopology_iffstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.Hom.generate_singleton_mem_propQCTopologystatement · cited by 0
- AlgebraicGeometry.Scheme.proetaleTopology_eq_propQCTopologystatement · cited by 0
- AlgebraicGeometry.Scheme.bot_mem_propQCTopologystatement and proof · cited by 0
- AlgebraicGeometry.isSheaf_propQCTopology_iffstatement · cited by 0