Theorems · Definition · category theory

HomologicalComplex.op

{ι : Type u_1} →
  {V : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_2} V] →
      {c : ComplexShape ι} →
        [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] → HomologicalComplex V c → HomologicalComplex Vᵒᵖ c.symm

Sends a complex X with objects in V to the corresponding complex with objects in Vᵒᵖ.

Defined in

Mathlib.Algebra.Homology.Opposite

Cited by

50 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms