Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forme des Connexes de Farey   The aim of this work is to prove that the connected parts of Farey complex
structure in plane are triangles or quadrangles. To do this work we go back to
plane convex polygones with oriented edge for wich we prove that if two
consecutive vectors of the edge never are in the same quadrant, then the
polygone is a triangle or a quadrangle. Then we prove that the connected parts
of Farey complex have this property.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con