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Theorems · Definition · algebraic geometry

CategoryTheory.PresheafOfGroups.ZeroCochain

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    CategoryTheory.Functor Cᵒᵖ GrpCat → {I : Type w'} → (I → C) → Type (max w w')

A zero cochain consists of a family of sections.

Defined in
Mathlib.CategoryTheory.Sites.NonabelianCohomology.H1
Cited by
7 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.PresheafOfGroups.OneCohomologyRelation · cited by 4PresheafOfGroups.OneCohom…CategoryTheory.PresheafOfGroups.OneCocycle.IsCohomologous · cited by 3OneCocycle.IsCohomologousCategoryTheory.PresheafOfGroups.OneCohomologyRelation.symm · cited by 1OneCohomologyRelation.symmCategoryTheory.PresheafOfGroups.OneCohomologyRelation.trans · cited by 1OneCohomologyRelation.tra…CategoryTheory.PresheafOfGroups.OneCocycle.equivalence_isCohomologous · cited by 1OneCocycle.equivalence_is…CategoryTheory.PresheafOfGroups.Cochain₀.inv_apply · cited by 1Cochain₀.inv_applyCategoryTheory.PresheafOfGroups.OneCohomologyRelation.refl · cited by 1OneCohomologyRelation.reflCategoryTheory.PresheafOfGroups.Cochain₀.mul_apply · cited by 0Cochain₀.mul_applyCategoryTheory.PresheafOfGroups.Cochain₀.one_apply · cited by 0Cochain₀.one_applyCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeGrpCat · cited by 146GrpCatGrpCat.carrier · cited by 125GrpCat.carrierPresheafOfGroups.ZeroCochainCITED BYCITES

Cites6

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Cited by9

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