Theorems · Definition · algebraic geometry

AlgebraicGeometry.SheafedSpace.restrict

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

The restriction of a sheafed space along an open embedding into the space.

Defined in

Mathlib.Geometry.RingedSpace.SheafedSpace

Cited by

11 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category