Theorems · Definition · category theory

HomologicalComplex.single

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

The functor V ⥤ HomologicalComplex V c creating a chain complex supported in a single degree.

Defined in

Mathlib.Algebra.Homology.Single

Cited by

110 results in Mathlib

Foundations

Depth 20 from the axioms, rests on 134 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectDecidableEq