Theorems · Definition · group theory

TopRep.d

{k : Type u_1} →
  {G : Type u_2} →
    [inst : Ring k] →
      [inst_1 : Group G] →
        [inst_2 : TopologicalSpace k] →
          [inst_3 : TopologicalSpace G] →
            [inst_4 : IsTopologicalGroup G] → (X : TopRep k G) → (n : ℕ) → X.resolutionX n ⟶ X.resolutionX (n + 1)

The boundary map in the resolution of a topological representation induced by TopRep.coind₁Functor.

Defined in

Mathlib.RepresentationTheory.Homological.ContCohomology.Basic

Cited by

10 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingGroupTopologicalSpaceTopologicalSpaceIsTopologicalGroup