Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local operations and eventually open actions   We study continuous actions of Polish groups on Polish spaces. We develop
Scott analysis introduced by Hjorth for studying orbit equivalence relations.
We define eventually open actions and prove that this property characterizes
the actions endowed with a complete system of hereditarily countable invariant
structures.

27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con