Theorems · Definition · algebraic topology

SSet.homologyMap

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasCoproducts C] →
      [inst_2 : CategoryTheory.Preadditive C] →
        {X Y : SSet} →
          (X ⟶ Y) →
            (R : C) → [inst_3 : CategoryTheory.CategoryWithHomology C] → (n : ℕ) → X.homology R n ⟶ Y.homology R n

The morphism in simplicial homology that is induced by a morphism of simplicial sets.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Homology.Basic

Cited by

9 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.PreadditiveCategoryTheory.CategoryWithHomology