Theorems · Definition · category theory

CategoryTheory.ShortComplex.opcycles

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] → (S : CategoryTheory.ShortComplex C) → [S.HasRightHomology] → C

The "opcycles" of a short complex, given by the Q field of a chosen right homology data. This is the dual notion to cycles.

Defined in

Mathlib.Algebra.Homology.ShortComplex.RightHomology

Cited by

192 results in Mathlib

Foundations

Depth 6 from the axioms, rests on 10 definitions · uses Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.ShortComplex.HasRightHomology