Theorems · Theorem · measure theory

ContinuousLinearEquiv.dimH_image

∀ {𝕜 : Type u_4} {E : Type u_5} {F : Type u_6} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (e : E ≃L[𝕜] F) (s : Set E),
  dimH (⇑e '' s) = dimH s

Defined in

Mathlib.Topology.MetricSpace.HausdorffDimension

Cited by

2 results in Mathlib

Foundations

Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace