Theorems · Definition · category theory

CategoryTheory.Functor.mapHomotopyCategory

{ι : Type u_2} →
  {V : Type u} →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Preadditive V] →
        {W : Type u_3} →
          [inst_2 : CategoryTheory.Category.{v_1, u_3} W] →
            [inst_3 : CategoryTheory.Preadditive W] →
              (F : CategoryTheory.Functor V W) →
                [F.Additive] →
                  (c : ComplexShape ι) → CategoryTheory.Functor (HomotopyCategory V c) (HomotopyCategory W c)

An additive functor induces a functor between homotopy categories.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory

Cited by

18 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Functor.Additive