Theorems · Definition · algebraic topology
SSet.toNormalizedChainComplex
{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.chainComplex R ⟶ X.normalizedChainComplex RThe split epi X.chainComplex R ⟶ X.normalizedChainComplex R.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Homstatement · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- SSetstatement and proof · cited by 1,283
- ComplexShape.downstatement · cited by 605
- ChainComplexstatement · cited by 350
- CategoryTheory.Limits.HasCoproductsstatement and proof · cited by 119
- SSet.chainComplexstatement · cited by 46
- SSet.normalizedChainComplexstatement · cited by 29
- CategoryTheory.Limits.sigmaConstproof · cited by 18
- CategoryTheory.SimplicialObject.Splitting.toNondegComplexproof · cited by 9
Cited by23
Results whose statement or proof uses this declaration.
- SSet.ιNormalizedChainComplexproof · cited by 11
- SSet.normalizedChainComplexMapproof · cited by 5
- SSet.fromNormalizedChainComplex_toNormalizedChainComplexstatement · cited by 2
- SSet.toNormalizedChainComplex_fromNormalizedChainComplexstatement · cited by 2
- SSet.toNormalizedChainComplex_normalizedChainComplexMapstatement and proof · cited by 2
- SSet.PInfty_toNormalizedChainComplexstatement · cited by 2
- SSet.ιNormalizedChainComplex_fromNormalizedChainComplex_fproof · cited by 2
- SSet.toNormalizedChainComplex_f_fromNormalizedChainComplex_fstatement · cited by 2
- SSet.fromNormalizedChainComplex_f_toNormalizedChainComplex_fstatement · cited by 1
- SSet.toNormalizedChainComplex_fromNormalizedChainComplex_assocstatement and proof · cited by 1
- SSet.ιChainComplex_toNormalizedChainComplex_fstatement and proof · cited by 1
- SSet.ιChainComplex_toNormalizedChainComplex_f_assocstatement and proof · cited by 1