Theorems · Theorem · category theory

AlgebraicTopology.map_alternatingFaceMapComplex

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C] {D : Type u_2}
  [inst_2 : CategoryTheory.Category.{v_2, u_2} D] [inst_3 : CategoryTheory.Preadditive D]
  (F : CategoryTheory.Functor C D) [inst_4 : F.Additive],
  (AlgebraicTopology.alternatingFaceMapComplex C).comp (F.mapHomologicalComplex (ComplexShape.down ℕ)) =
    ((CategoryTheory.SimplicialObject.whiskering C D).obj F).comp (AlgebraicTopology.alternatingFaceMapComplex D)

Defined in

Mathlib.AlgebraicTopology.AlternatingFaceMapComplex

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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