Theorems · Definition · group theory
groupCohomology.cochainsFunctor
(k G : Type u) →
[inst : CommRing k] → [inst_1 : Group G] → CategoryTheory.Functor (Rep.{u, u, u} k G) (CochainComplex (ModuleCat k) ℕ)The functor sending a representation to its complex of inhomogeneous cochains.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 118 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.
- Quiver.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Groupstatement and proof · cited by 6,238
- ModuleCatstatement · cited by 1,429
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement · cited by 1,016
- Repstatement and proof · cited by 843
- MonoidHom.idproof · cited by 323
- groupCohomology.inhomogeneousCochainsproof · cited by 83
- groupCohomology.cochainsMapproof · cited by 41
- groupCohomology.cochainsMap_idproof · cited by 0
Cited by8
Results whose statement or proof uses this declaration.
- groupCohomology.map_cochainsFunctor_shortExactstatement and proof · cited by 9
- groupCohomology.δ_applyproof · cited by 2
- TateCohomology.tateComplex.evalNonnegstatement · cited by 1
- groupCohomology.map_cochainsFunctor_eval_shortExactstatement · cited by 1
- groupCohomology.cochainsFunctor_mapstatement and proof · cited by 1
- groupCohomology.δ_naturalityproof · cited by 0
- groupCohomology.cochainsFunctor_obj_X_carrierstatement and proof · cited by 0
- groupCohomology.cochainsFunctor_obj_dstatement and proof · cited by 0