Theorems · Definition · group theory

continuousCohomology

{k : Type u_1} →
  {G : Type u_2} →
    [inst : Ring k] →
      [inst_1 : Group G] →
        [inst_2 : TopologicalSpace k] →
          [inst_3 : TopologicalSpace G] → [IsTopologicalGroup G] → ℕ → TopRep k G → TopModuleCat k

The continuous cohomology of a continuous representation defined by taking homology of the homogeneous cochains.

Defined in

Mathlib.RepresentationTheory.Homological.ContCohomology.Basic

Cited by

5 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingGroupTopologicalSpaceTopologicalSpaceIsTopologicalGroup