Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The group of quasi-isometries of the real line cannot act effectively on
  the line   We prove that the group $\mathrm{QI}^{+}(\mathbb{R})$ of
orientation-preserving quasi-isometries of the real line is a left-orderable,
non-simple group, which cannot act effectively on the real line $\mathbb{R}.$

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol