Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Borel completeness of some aleph_0 stable theories   We study aleph_0-stable theories, and prove that if T either has eni-DOP or
is eni-deep, then its class of countable models is Borel complete. We introduce
the notion of lambda-Borel completeness and prove that such theories are
lambda-Borel complete. Using this, we conclude that an aleph_0-stable theory
has 2^lambda pairwise non-L(infinity,aleph_0) equivalent models of size lambda
for all infinite cardinals lambda if and only if T either has eni-DOP or is
eni-deep.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol