Theorems · Theorem · algebraic topology
AlgebraicTopology.DoldKan.factors_normalizedMooreComplex_PInfty
∀ {A : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} A] [inst_1 : CategoryTheory.Abelian A]
{X : CategoryTheory.SimplicialObject A} (n : ℕ),
(AlgebraicTopology.NormalizedMooreComplex.objX X n).Factors (AlgebraicTopology.DoldKan.PInfty.f n)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- Finset.univproof · cited by 3,473
- SimplexCategorystatement · cited by 2,204
- HomologicalComplex.Xstatement and proof · cited by 1,839
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- HomologicalComplex.Hom.fstatement and proof · cited by 845
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- CategoryTheory.Subobjectproof · cited by 385
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplexproof · cited by 10
- AlgebraicTopology.DoldKan.PInfty_comp_PInftyToNormalizedMooreComplexproof · cited by 1
- AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex_naturalityproof · cited by 1
- AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex_fstatement · cited by 0