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AlgebraicGeometry.Scheme.smallGrothendieckTopologyOfLE

Deprecated since 2026-05-28Use AlgebraicGeometry.Scheme.smallGrothendieckTopology instead.

CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme →
  {Q : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} →
    (S : AlgebraicGeometry.Scheme) → CategoryTheory.GrothendieckTopology (Q.Over ⊤ S)

Alias of AlgebraicGeometry.Scheme.smallGrothendieckTopology. If P and Q are morphism properties with P ≤ Q, this is the Grothendieck topology induced via the forgetful functor Q.Over ⊤ S ⥤ Over S by the topology defined by P.

Defined in
Mathlib.AlgebraicGeometry.Sites.Small
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Foundations
Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
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Top.top · cited by 9680Top.topCategoryTheory.Functor.id · cited by 3333Functor.idAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.Functor.fromPUnit · cited by 769Functor.fromPUnitCategoryTheory.MorphismProperty.Over · cited by 94MorphismProperty.OverAlgebraicGeometry.Scheme.smallGrothendieckTopology · cited by 3Scheme.smallGrothendieckT…Scheme.smallGrothendieckTopol…CITED BYCITES

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