Theorems · Definition · algebraic topology
SSet.normalizedChainComplexFunctorObj
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.Limits.HasCoproducts C] →
[inst_2 : CategoryTheory.Preadditive C] → C → CategoryTheory.Functor SSet (ChainComplex C ℕ)Given R : C, this is the functor SSet.{w} ⥤ ChainComplex C ℕ which sends
a simplicial set X to X.normalizedChainComplex R.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- SimplexCategorystatement · cited by 2,204
- 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.normalizedChainComplexproof · cited by 29
- SSet.normalizedChainComplexMapproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- SSet.toNormalizedChainComplexNatTransstatement · cited by 1
- SSet.normalizedChainComplexFunctorObj_mapstatement and proof · cited by 0
- SSet.toNormalizedChainComplexNatTrans_appstatement · cited by 0
- SSet.normalizedChainComplexFunctorObj_objstatement and proof · cited by 0