Theorems · Definition · category theory
CategoryTheory.ShortComplex.homologyFunctor
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
[CategoryTheory.CategoryWithHomology C] → CategoryTheory.Functor (CategoryTheory.ShortComplex C) CThe homology functor ShortComplex C ⥤ C for a category C with homology.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.homologyproof · cited by 216
- CategoryTheory.CategoryWithHomologystatement and proof · cited by 116
- CategoryTheory.ShortComplex.homologyMapproof · cited by 83
Cited by10
Results whose statement or proof uses this declaration.
- CochainComplex.ShiftSequence.shiftIsoproof · cited by 3
- HomologicalComplex.homologyFunctorIsostatement · cited by 3
- CategoryTheory.ShortComplex.homologyFunctorIsostatement · cited by 2
- CochainComplex.ShiftSequence.shiftIso_inv_appproof · cited by 1
- HomologicalComplex.homologyFunctorIso_inv_appstatement · cited by 0
- CategoryTheory.ShortComplex.homologyFunctorOpNatIsostatement · cited by 0
- CategoryTheory.ShortComplex.homologyFunctor_mapstatement and proof · cited by 0
- CategoryTheory.ShortComplex.homologyFunctor_objstatement and proof · cited by 0
- HomologicalComplex.homologyFunctorIso'statement and proof · cited by 0
- HomologicalComplex.homologyFunctorIso_hom_appstatement · cited by 0