Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.forgetToTop
CategoryTheory.Functor AlgebraicGeometry.Scheme TopCat
The forgetful functor from Scheme to TopCat.
- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 13 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.
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- AlgebraicGeometry.Schemestatement · cited by 2,540
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.Scheme.forgetToLocallyRingedSpaceproof · cited by 17
- AlgebraicGeometry.LocallyRingedSpace.forgetToTopproof · cited by 3
Cited by19
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.forgetproof · cited by 78
- AlgebraicGeometry.Scheme.homeoOfIsoproof · cited by 7
- AlgebraicGeometry.coprodMkproof · cited by 6
- AlgebraicGeometry.isCompl_range_inl_inrproof · cited by 4
- AlgebraicGeometry.IsOpenImmersion.range_pullbackFstproof · cited by 4
- AlgebraicGeometry.IsOpenImmersion.range_pullbackSndproof · cited by 4
- AlgebraicGeometry.coprodMk_inlproof · cited by 3
- AlgebraicGeometry.coprodMk_inrproof · cited by 3
- AlgebraicGeometry.isBasis_basicOpenproof · cited by 3
- AlgebraicGeometry.sigmaMkproof · cited by 2
- AlgebraicGeometry.Scheme.Cover.fromGlued_injectiveproof · cited by 2
- AlgebraicGeometry.continuousMapPresheafIsoUliftstatement and proof · cited by 1