Quasisymmetric extension on the real line

Vyron Vellis

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arXiv · 1509.06638

Quasisymmetric extension on the real line

Vyron Vellis

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Abstract

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 $N\geq n$.

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Vyron Vellis. 2016-06-27. Quasisymmetric extension on the real line. https://arxiv.org/abs/1509.06638

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