Mathlib Map

Theorems · Definition · algebraic geometry

AlgebraicGeometry.SheafedSpace.ofRestrict

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {U : TopCat} →
      (X : AlgebraicGeometry.SheafedSpace C) →
        {f : U ⟶ ↑X.toPresheafedSpace} →
          (h : Topology.IsOpenEmbedding ⇑(CategoryTheory.ConcreteCategory.hom f)) → X.restrict h ⟶ X

The map from the restriction of a presheafed space.

Defined in
Mathlib.Geometry.RingedSpace.SheafedSpace
Cited by
8 results in Mathlib
Foundations
Depth 90 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.

AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict · cited by 2IsOpenImmersion.isoRestri…AlgebraicGeometry.SheafedSpace.IsOpenImmersion.ofRestrict_invApp · cited by 1IsOpenImmersion.ofRestric…AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict · cited by 1IsOpenImmersion.isoRestri…AlgebraicGeometry.SheafedSpace.IsOpenImmersion.ofRestrict_invApp_apply · cited by 0IsOpenImmersion.ofRestric…AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict_assoc · cited by 0IsOpenImmersion.isoRestri…AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict_assoc · cited by 0IsOpenImmersion.isoRestri…AlgebraicGeometry.SheafedSpace.ofRestrict_hom_base · cited by 0SheafedSpace.ofRestrict_h…AlgebraicGeometry.SheafedSpace.ofRestrict_hom_c_app · cited by 0SheafedSpace.ofRestrict_h…DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierContinuousMap · cited by 2491ContinuousMapAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…TopCat · cited by 1889TopCatTopology.IsOpenEmbedding · cited by 231Topology.IsOpenEmbeddingAlgebraicGeometry.SheafedSpace · cited by 142AlgebraicGeometry.Sheafed…CategoryTheory.InducedCategory.homMk · cited by 33InducedCategory.homMkAlgebraicGeometry.PresheafedSpace.ofRestrict · cited by 13PresheafedSpace.ofRestrictAlgebraicGeometry.SheafedSpace.restrict · cited by 11SheafedSpace.restrictSheafedSpace.ofRestrictCITED BYCITES

Cites14

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Cited by8

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