Theorems · Definition · algebraic geometry

CategoryTheory.PresheafOfGroups.OneCochain.ev

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {G : CategoryTheory.Functor Cᵒᵖ GrpCat} →
      {I : Type w'} →
        {U : I → C} →
          CategoryTheory.PresheafOfGroups.OneCochain G U →
            (i j : I) → ⦃T : C⦄ → (T ⟶ U i) → (T ⟶ U j) → ↑(G.obj (Opposite.op T))

the data involved in a 1-cochain

Defined in

Mathlib.CategoryTheory.Sites.NonabelianCohomology.H1

Cited by

15 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.Category