Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dependent Pairs   We prove that certain pairs of ordered structures are dependent. Among these
structures are dense and tame pairs of o-minimal structures and further the
real field with a multiplicative subgroup with the Mann property, regardless of
whether it is dense or discrete.

7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin