Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonconvex Lipschitz function in plane which is locally convex outside a
  discontinuum   We construct a Lipschitz function on $\er^{2}$ which is locally convex on the
complement of some totally disconnected compact set but not convex. Existence
of such function disproves a theorem that appeared in a paper by L. Pasqualini
and was also cited by other authors.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph