Theorems · Definition · general topology

Homeomorph.vadd

{α : Type u_2} →
  {G : Type u_4} →
    [inst : TopologicalSpace α] →
      [inst_1 : AddGroup G] → [inst_2 : AddAction G α] → [ContinuousConstVAdd G α] → G → α ≃ₜ α

The homeomorphism given by affine-addition by an element of an additive group Γ acting on T is a homeomorphism from T to itself.

Defined in

Mathlib.Topology.Algebra.ConstMulAction

Cited by

14 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext

Assumes

TopologicalSpaceAddGroupAddActionContinuousConstVAdd