Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On weakly m-convex sets   There were obtained some properties of weakly m-convex sets. Various kinds of
the problem of shadow were investigated. There was obtained the lower
estimation for the number of balls that are necessary to create a shadow at the
point of the sphere in three-dimensional Euclidean space

24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph