Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convex Sets and Minimal Sublinear Functions   We show that, given a closed convex set $K$ containing the origin in its
interior, the support function of the set $\{y\in K^*: \exists x\in K\mbox{
such that } \langle x,y \rangle =1\}$ is the pointwise smallest among all
sublinear functions $\sigma$ such that $K=\{x: \sigma(x)\leq 1\}$.

31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc