Theorems · Definition · algebraic geometry
AlgebraicGeometry.SheafedSpace.forget
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor (AlgebraicGeometry.SheafedSpace C) TopCatThe forgetful functor from SheafedSpace to Top.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- AlgebraicGeometry.PresheafedSpace.carrierproof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.PresheafedSpace.Hom.baseproof · cited by 1,135
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- AlgebraicGeometry.SheafedSpacestatement and proof · cited by 142
Cited by14
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.LocallyRingedSpace.forgetToTopproof · cited by 3
- AlgebraicGeometry.SheafedSpace.IsOpenImmersion.sigma_ι_isOpenEmbeddingproof · cited by 1
- AlgebraicGeometry.SheafedSpace.GlueData.ι_jointly_surjectiveproof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.lift_rangeproof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.GlueData.ι_jointly_surjectiveproof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.forgetToTop_mapstatement · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.forgetToTop_objstatement · cited by 0
- AlgebraicGeometry.SheafedSpace.IsOpenImmersion.image_preimage_is_emptyproof · cited by 0
- AlgebraicGeometry.SheafedSpace.isColimit_exists_repproof · cited by 0
- AlgebraicGeometry.SheafedSpace.colimit_exists_repproof · cited by 0