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Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.OneHypercover.toPreOneHypercover

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} → {S : C} → J.OneHypercover S → CategoryTheory.PreOneHypercover S
Defined in
Mathlib.CategoryTheory.Sites.Hypercover.One
Cited by
59 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

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CategoryTheory.GrothendieckTopology.OneHypercover.mem₀ · cited by 10OneHypercover.mem₀CategoryTheory.GrothendieckTopology.OneHypercover.Hom · cited by 6OneHypercover.HomCategoryTheory.GrothendieckTopology.OneHypercover.isLimitMultifork · cited by 4OneHypercover.isLimitMult…CategoryTheory.GrothendieckTopology.OneHypercover.mem₁ · cited by 4OneHypercover.mem₁CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.lift · cited by 4IsSheafIff.liftCategoryTheory.GrothendieckTopology.OneHypercover.glueMorphisms · cited by 3OneHypercover.glueMorphis…CategoryTheory.Precoverage.ZeroHypercover.glueMorphisms · cited by 3ZeroHypercover.glueMorphi…CategoryTheory.GrothendieckTopology.OneHypercover.f_glueMorphisms · cited by 2OneHypercover.f_glueMorph…CategoryTheory.GrothendieckTopology.OneHypercover.isStronglySheafFor · cited by 2OneHypercover.isStronglyS…CategoryTheory.GrothendieckTopology.OneHypercover.isoMk · cited by 2OneHypercover.isoMkCategoryTheory.GrothendieckTopology.OneHypercover.map · cited by 2OneHypercover.mapCategoryTheory.GrothendieckTopology.OneHypercover.multiforkLift · cited by 2OneHypercover.multiforkLi…CategoryTheory.GrothendieckTopology.OneHypercoverFamily.exists_oneHypercover · cited by 2OneHypercoverFamily.exist…CategoryTheory.GrothendieckTopology.OneHypercover.inter · cited by 1OneHypercover.interCategoryTheory.GrothendieckTopology.OneHypercover.isSheafFor_of_pullback · cited by 1OneHypercover.isSheafFor_…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.PreOneHypercover · cited by 180CategoryTheory.PreOneHype…CategoryTheory.GrothendieckTopology.OneHypercover · cited by 44GrothendieckTopology.OneH…OneHypercover.toPreOneHyperco…CITED BYCITES

Cites4

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Cited by74

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