Theorems · Definition · category theory

CategoryTheory.ShortComplex.opcyclesMap

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {S₁ S₂ : CategoryTheory.ShortComplex C} →
        [inst_2 : S₁.HasRightHomology] → [inst_3 : S₂.HasRightHomology] → (S₁ ⟶ S₂) → (S₁.opcycles ⟶ S₂.opcycles)

The morphism S₁.opcycles ⟶ S₂.opcycles induced by a morphism S₁ ⟶ S₂ of short complexes.

Defined in

Mathlib.Algebra.Homology.ShortComplex.RightHomology

Cited by

41 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.ShortComplex.HasRightHomologyCategoryTheory.ShortComplex.HasRightHomology