Theorems · Definition · category theory
CochainComplex.Plus
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] → [CategoryTheory.Limits.HasZeroMorphisms C] → Type (max u_1 v_1)The full subcategory of CochainComplex C ℤ consisting of bounded below complexes.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ObjectProperty.FullSubcategoryproof · cited by 726
- CochainComplex.plusproof · cited by 24
Cited by33
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapCochainComplexPlusstatement and proof · cited by 11
- CochainComplex.Plus.ιstatement · cited by 8
- CochainComplex.Plus.quasiIsostatement · cited by 6
- HomotopyCategory.Plus.quotientstatement · cited by 4
- CategoryTheory.Functor.mapCochainComplexPlusCompιstatement · cited by 2
- CochainComplex.Plus.localizerMorphismstatement · cited by 1
- CochainComplex.Plus.modelCategoryQuillen.fibration_iffstatement and proof · cited by 1
- DerivedCategory.Plus.Qstatement · cited by 1
- CochainComplex.Plus.exists_quasiIso_injectivestatement and proof · cited by 1
- HomotopyCategory.Plus.quotientCompιIsostatement · cited by 0
- HomotopyCategory.Plus.quotient_map_homstatement and proof · cited by 0
- CategoryTheory.Functor.mapCochainComplexPlusCompι_hom_app_fstatement and proof · cited by 0