Theorems · Definition · group theory

ContinuousCohomology.cocycles

{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] → TopRep k G → ℕ → TopModuleCat k

The n-cocycles Zⁿ(G, A) of a k-linear G-representation A, i.e. the kernel of the nth differential in the complex of 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