Theorems · Inductive type · category theory

CategoryTheory.ShortComplex.HomologyMapData

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {S₁ S₂ : CategoryTheory.ShortComplex C} → (S₁ ⟶ S₂) → S₁.HomologyData → S₂.HomologyData → Type v

A homology map data for a morphism φ : S₁ ⟶ S₂ where both S₁ and S₂ are equipped with homology data consists of left and right homology map data.

Defined in

Mathlib.Algebra.Homology.ShortComplex.Homology

Cited by

27 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms