Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological transitivity and wandering intervals for group actions on
  the line $\mathbb R$   For every group $G$, we show that either $G$ has a topologically transitive
action on the line $\mathbb R$ by orientation-preserving homeomorphisms, or
every orientation-preserving action of $G$ on $\mathbb R$ has a wandering
interval. According to this result, all groups are divided into two types:
transitive type and wandering type, and the types of several groups are
determined. We also show that every finitely generated orderable group of
wandering type is indicable. As a corollary, we show that if a higher rank
lattice $\Gamma$ is orderable, then $\Gamma$ is of transitive type.

14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys