Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Any nonsingular action of the full symmetric group is isomorphic to an
  action with invariant measure   Let $\overline{\mathfrak{S}}_\infty$ denote the set of all bijections of
natural numbers. Consider the action of $\overline{\mathfrak{S}}_\infty$ on a
measure space $\left( X,\mathfrak{M},\mu \right)$, where $\mu$ is
$\overline{\mathfrak{S}}_\infty$-quasi-invariant measure. We prove that there
exists $\overline{\mathfrak{S}}_\infty$-invariant measure equivalent to $\mu$.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio