Theorems · Definition · algebraic geometry
AlgebraicGeometry.Spec.sheafedSpaceObj
CommRingCat → AlgebraicGeometry.SheafedSpace CommRingCat
The spectrum of a commutative ring, as a SheafedSpace.
- Defined in
- Mathlib.AlgebraicGeometry.Spec
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingCatstatement and proof · cited by 2,333
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- CommRingCat.carrierproof · cited by 1,096
- AlgebraicGeometry.SheafedSpacestatement · cited by 142
- AlgebraicGeometry.Spec.structureSheafproof · cited by 57
- AlgebraicGeometry.Spec.topObjproof · cited by 17
Cited by27
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Spec.locallyRingedSpaceObjproof · cited by 57
- AlgebraicGeometry.Spec.sheafedSpaceMapstatement and proof · cited by 16
- AlgebraicGeometry.Spec.toSheafedSpaceproof · cited by 9
- AlgebraicGeometry.localRingHom_comp_stalkIsostatement · cited by 3
- AlgebraicGeometry.Spec.sheafedSpaceMap_hom_c_appstatement and proof · cited by 2
- AlgebraicGeometry.Spec.locallyRingedSpaceMap_toHomstatement · cited by 2
- AlgebraicGeometry.StructureSheaf.toPushforwardStalk_compstatement and proof · cited by 1
- AlgebraicGeometry.Spec.sheafedSpaceMap_compstatement and proof · cited by 1
- AlgebraicGeometry.Spec.sheafedSpaceMap_idstatement and proof · cited by 1
- AlgebraicGeometry.stalkMap_toStalkstatement and proof · cited by 1
- AlgebraicGeometry.stalkMap_toStalk_applystatement · cited by 1
- AlgebraicGeometry.Spec.basicOpen_hom_extstatement and proof · cited by 1