Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On combinatorial problem concerning partitions of a box into boxes   We consider partitions of n-dimensional boxes in R^n, n>1, into a finite
number of boxes with pairwise disjoint interiors. We study sets X \subseteq
(0,\infty) with the Property (W_n): for every n-dimensional box P and every
partition of P, if each constituent box has one side with the length belonging
to X, then the length of one side of P belongs to X. We prove that the set X
\subseteq (0,\infty) has Property (W_n) if and only if X is closed with respect
to the operations: x+y and x+y+z-2min(x,y,z).

15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph