Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Most(?) theories have Borel complete reducts   We prove that many seemingly simple theories have Borel complete reducts.
Specifically, if a countable theory has uncountably many complete 1-types, then
it has a Borel complete reduct. Similarly, if $Th(M)$ is not small, then
$M^{eq}$ has a Borel complete reduct, and if a theory $T$ is not
$\omega$-stable, then the elementary diagram of some countable model of $T$ has
a Borel complete reduct.

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an