Theorems · Theorem · group theory

ContinuousCohomology.resolutionMap_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) (i : ℕ),
  ContinuousCohomology.resolutionMap (ContinuousMonoidHom.id G) (CategoryTheory.CategoryStruct.id X) i =
    CategoryTheory.CategoryStruct.id (X.resolutionX i)

Defined in

Mathlib.RepresentationTheory.Homological.ContCohomology.Functoriality

Cited by

1 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingTopologicalSpaceGroupTopologicalSpaceIsTopologicalGroup