Theorems · Theorem · group theory
ContinuousCohomology.cochainsMap_f_hom
∀ {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),
TopModuleCat.Hom.hom ((ContinuousCohomology.cochainsMap φ f).f i) =
ContIntertwiningMap.mapInvariantsOfRes (↑φ) (TopRep.Hom.hom (ContinuousCohomology.resolutionMap φ f (i + 1)))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites31
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
- RingHom.idstatement · cited by 18,349
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- Groupstatement and proof · cited by 6,238
- ContinuousLinearMapstatement · cited by 5,352
- ContinuousMapstatement · cited by 2,491
- 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
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