Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A weak dichotomy below E_1 \times E_3   If E is an equivalence relation Borel reducible to E_1 \times E_3 then either
E is Borel reducible to the equality of countable sets of reals or E_1 is Borel
reducible to E. The "either" case admits further strengthening.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an