Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotonicity of maximal equicontinuous factors and an application to
  toral flows   We show that for group actions on locally connected spaces the maximal
equicontinuous factor map is always monotone, that is, the preimages of single
points are connected. As an application, we obtain that if the maximal
continuous factor of a homeomorphism of the two-torus is minimal, then it is
either (i) an irrational translation of the two-torus, (ii) an irrational
rotation on the circle or (iii) the identity on a singleton.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess