Theorems · Definition · category theory

SheafOfModules.freeMap

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {R : CategoryTheory.Sheaf J RingCat} →
        [inst_1 : CategoryTheory.HasWeakSheafify J AddCommGrpCat] →
          [inst_2 : J.WEqualsLocallyBijective AddCommGrpCat] →
            {I J_1 : Type u} → (I → J_1) → (SheafOfModules.free I ⟶ SheafOfModules.free J_1)

The morphism of presheaves of R-modules free I ⟶ free J induced by a map f : I → J.

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf.Free

Cited by

11 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasWeakSheafifyCategoryTheory.GrothendieckTopology.WEqualsLocallyBijective