Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-dimensional polyhedra can be described by three polynomial
  inequalities   Bosse et al. conjectured that for every natural number $d \ge 2$ and every
$d$-dimensional polytope $P$ in $\real^d$ there exist $d$ polynomials
$p_0(x),...,p_{d-1}(x)$ satisfying $P=\{x \in \mathbb{R}^d : p_0(x) \ge 0,
>..., p_{d-1}(x) \ge 0 \}.$ We show that for dimensions $d \le 3$ even every
$d$-dimensional polyhedron can be described by $d$ polynomial inequalities. The
proof of our result is constructive.

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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga