Theorems · Inductive type · category theory

HomologicalComplex.Hom

{ι : Type u_1} →
  {V : Type u} →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] →
        {c : ComplexShape ι} → HomologicalComplex V c → HomologicalComplex V c → Type (max u_1 v)

A morphism of homological complexes consists of maps between the chain groups, commuting with the differentials.

Defined in

Mathlib.Algebra.Homology.HomologicalComplex

Cited by

23 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms