Theorems · Definition · general topology

OpenPartialHomeomorph.unitBallBall

{E : Type u_1} →
  [inst : SeminormedAddCommGroup E] →
    [NormedSpace ℝ E] →
      {P : Type u_2} →
        [inst_2 : PseudoMetricSpace P] → [NormedAddTorsor E P] → P → (r : ℝ) → 0 < r → OpenPartialHomeomorph E P

Affine homeomorphism (r • · +ᵥ c) between a normed space and an add torsor over this space, interpreted as an OpenPartialHomeomorph between Metric.ball 0 1 and Metric.ball c r.

Defined in

Mathlib.Analysis.Normed.Module.Ball.Homeomorph

Cited by

11 results in Mathlib

Foundations

Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedAddCommGroupNormedSpacePseudoMetricSpaceNormedAddTorsor