Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of bounded holomorphic functions on the tridisk   We study sets $V$ in the tridisc that are relatively polynomially convex and
have the polynomial extension property. If $V$ is one-dimensional, and is
either algebraic, or has polynomially convex projections, we show that it is a
retract. If $V$ is two-dimensional, we show that either it is a retract, or,
for any choice of the coordinate functions, it is the graph of a function of
two variables.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat