Theorems · Theorem · group theory
ContinuousCohomology.cochainsMap_f
∀ {k : Type u} {G H : Type v} [inst : Ring k] [inst_1 : TopologicalSpace k] [inst_2 : Group G]
[inst_3 : TopologicalSpace G] [inst_4 : IsTopologicalGroup G] [inst_5 : Group H] [inst_6 : TopologicalSpace H]
[inst_7 : IsTopologicalGroup H] {X : TopRep k G} {Y : TopRep k H} (φ : H →ₜ* G) (f : TopRep.res (↑φ) X ⟶ Y) (i : ℕ),
(ContinuousCohomology.cochainsMap φ f).f i =
TopRep.invariantsResMap (↑φ) (ContinuousCohomology.resolutionMap φ f (i + 1))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- HomologicalComplex.Xstatement · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- HomologicalComplex.Hom.fstatement and proof · cited by 845
- IsTopologicalGroupstatement and proof · cited by 469
- MonoidHomClass.toMonoidHomstatement and proof · cited by 294
- ContinuousMonoidHomstatement and proof · cited by 104
- TopRepstatement and proof · cited by 54
- TopModuleCatstatement · cited by 45
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousCohomology.cochainsMap_idproof · cited by 2