Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polish group actions and admissible sets   We define some coding of Borel sets in admissible sets. Using this we
generalize certain results from model theory involving admissible sets to the
case of continuous actions of closed permutation groups on Polish spaces. In
particular we obtain counterparts of Nadel's theorems about relationships
between Scott sentences and admissible sets.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys