Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasisymmetric extension on the real line   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 $N\geq n$.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph