Theorems · Theorem · algebraic topology
AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex_f
∀ {A : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} A] [inst_1 : CategoryTheory.Abelian A]
(X : CategoryTheory.SimplicialObject A) (n : ℕ),
(AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex X).f n =
(AlgebraicTopology.NormalizedMooreComplex.objX X n).factorThru (AlgebraicTopology.DoldKan.PInfty.f n) ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- HomologicalComplex.Xstatement · 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.Subobjectstatement · cited by 385
- CategoryTheory.Subobject.underlyingstatement · cited by 211
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