Theorems · Definition · Lie groups

Homeomorph.smulConst

{V : Type u_1} →
  {P : Type u_2} →
    [inst : Group V] →
      [inst_1 : TopologicalSpace V] →
        [inst_2 : Torsor V P] → [inst_3 : TopologicalSpace P] → [IsTopologicalTorsor P] → P → V ≃ₜ P

The map v ↦ v • p as a homeomorphism between V and P.

Defined in

Mathlib.Topology.Algebra.Group.Torsor

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupTopologicalSpaceTorsorTopologicalSpaceIsTopologicalTorsor