Theorems · Definition · general topology

Homeomorph.smul

{α : Type u_2} →
  {G : Type u_4} →
    [inst : TopologicalSpace α] → [inst_1 : Group G] → [inst_2 : MulAction G α] → [ContinuousConstSMul G α] → G → α ≃ₜ α

The homeomorphism given by scalar multiplication by a given element of a group Γ acting on T is a homeomorphism from T to itself.

Defined in

Mathlib.Topology.Algebra.ConstMulAction

Cited by

21 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext

Assumes

TopologicalSpaceGroupMulActionContinuousConstSMul