Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A model theoretic Baire category theorem for simple theories   We prove a model theoretic Baire category theorem for
$\tilde\tau_{low}^f$-sets in a countable simple theory in which the extension
property is first-order and show some of its applications. We also prove a
trichotomy for minimal types in countable nfcp theories: either every type that
is internal in a minimal type is essentially-1-based by means of the forking
topology or $T$ interprets an infinite definable 1-based group of finite
$D$-rank or $T$ interprets a strongly-minimal formula.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin