Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free orbits for minimal actions on the circle   We prove that if $\Gamma$ is a countable group without a subgroup isomorphic
to $\mathbb{Z}^2$ that acts faithfully and minimally by orientation preserving
homeomorphisms on the circle, then it has a free orbit. We give examples
showing that this does not hold for actions by homeomorphisms of the line.

0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an