Theorems · Theorem · algebraic topology

SSet.homotopyEquivNormalizedChainComplex_hom

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasCoproducts C]
  [inst_2 : CategoryTheory.Preadditive C] (X : SSet) (R : C),
  (X.homotopyEquivNormalizedChainComplex R).hom = X.toNormalizedChainComplex R

Defined in: Mathlib.AlgebraicTopology.SimplicialSet.Homology.Nondegenerate
Cited by: 0 results in Mathlib
Foundations: Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasCoproducts CategoryTheory.Preadditive

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Preadditivestatement and proof · cited by 3,309
HomologicalComplexstatement · cited by 1,691
SSetstatement and proof · cited by 1,283
ComplexShape.downstatement · cited by 605
CategoryTheory.Limits.HasCoproductsstatement and proof · cited by 119
SSet.chainComplexstatement · cited by 46
HomotopyEquiv.homstatement · cited by 45
SSet.normalizedChainComplexstatement · cited by 29
SSet.toNormalizedChainComplexstatement · cited by 20
SSet.homotopyEquivNormalizedChainComplexstatement · cited by 2

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