Theorems · Theorem · group theory
ContinuousCohomology.cochainsMap_id
∀ {k : Type u} {G : Type v} [inst : Ring k] [inst_1 : TopologicalSpace k] [inst_2 : Group G]
[inst_3 : TopologicalSpace G] [inst_4 : IsTopologicalGroup G] (X : TopRep k G),
ContinuousCohomology.cochainsMap (ContinuousMonoidHom.id G) (CategoryTheory.CategoryStruct.id X) =
CategoryTheory.CategoryStruct.id X.homogeneousCochains- Cited by
- 2 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- TopologicalSpacestatement and proof · cited by 24,529
- Ringstatement and proof · cited by 7,463
- Groupstatement and proof · cited by 6,238
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- HomologicalComplex.Xproof · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement · cited by 1,016
- ModuleCat.carrierproof · cited by 997
- HomologicalComplex.Hom.fproof · cited by 845
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousCohomology.cocyclesMap_idproof · cited by 0
- ContinuousCohomology.map_idproof · cited by 0