6533b85cfe1ef96bd12bc966

RESEARCH PRODUCT

Quasisymmetric extension on the real line

Vyron Vellis

subject

funktioteoriarelatively connected setsMathematics::CombinatoricsMathematics - Metric GeometryFOS: MathematicsMathematics::Metric GeometryMetric Geometry (math.MG)quasisymmetric extension30C65

description

We give a geometric characterization of the sets $E\subset \mathbb{R}$ that satisfy the following property: every quasisymmetric embedding $f: E \to \mathbb{R}^n$ extends to a quasisymmetric embedding $f:\mathbb{R}\to\mathbb{R}^N$ for some $N\geq n$.

http://arxiv.org/abs/1509.06638