Theorems · Definition · algebraic topology

AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex

{A : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} A] →
    [inst_1 : CategoryTheory.Abelian A] →
      (X : CategoryTheory.SimplicialObject A) →
        AlgebraicTopology.AlternatingFaceMapComplex.obj X ⟶ AlgebraicTopology.NormalizedMooreComplex.obj X

PInfty factors through the normalized Moore complex

Defined in

Mathlib.AlgebraicTopology.DoldKan.Normalized

Cited by

10 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian