Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sto\"ilow's theorem revisited   Sto\"ilow's theorem from 1928 states that a continuous, open, and light map
between surfaces is a discrete map with a discrete branch set. This result
implies that such maps between orientable surfaces are locally modeled by power
maps $z\mapsto z^k$ and admit a holomorphic factorization.
  The purpose of this expository article is to give a proof of this classical
theorem having readers in mind that are interested in continuous, open and
discrete maps.

5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg