Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A separation result for countable unions of Borel rectangles   We provide dichotomy results characterizing when two disjoint analytic binary
relations can be separated by a countable union of ${\bf\Sigma}^0_1 \!\times\!
{\bf\Sigma}^0_\xi$ sets, or by a ${\bf\Pi}^0_1 \!\times\! {\bf\Pi}^0_\xi$ set.

1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph