Theorems · Definition · algebraic topology
SSet.normalizedChainComplexMap
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasCoproducts C] →
[inst_2 : CategoryTheory.Preadditive C] →
{X Y : SSet} → (X ⟶ Y) → (R : C) → X.normalizedChainComplex R ⟶ Y.normalizedChainComplex RThe morphism X.normalizedChainComplex R ⟶ Y.normalizedChainComplex R induced
by a morphism a simplicial sets X ⟶ Y.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 101 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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- 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.normalizedChainComplexstatement · cited by 29
- SSet.toNormalizedChainComplexproof · cited by 20
Cited by6
Results whose statement or proof uses this declaration.
- SSet.normalizedChainComplexFunctorObjproof · cited by 3
- SSet.toNormalizedChainComplex_normalizedChainComplexMapstatement · cited by 2
- SSet.ι_normalizedChainComplexMap_fstatement and proof · cited by 1
- SSet.toNormalizedChainComplex_normalizedChainComplexMap_assocstatement and proof · cited by 0
- SSet.normalizedChainComplexFunctorObj_mapstatement · cited by 0
- SSet.ι_normalizedChainComplexMap_f_assocstatement and proof · cited by 0