Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological (\prod^\omega \ell_2, \sum^\omega \ell_2)-factors of
  diffeomorphism groups of non-compact manifolds   Suppose M is a non-compact connected smooth n-manifold. Let D(M) denote the
group of diffeomorphisms of M endowed with the compact-open C^\infty-topology
and D^c(M) denote the subgroup consisting of diffeomorphisms of M with compact
support. Let D(M)_0 and D^c(M)_0 be the connected components of id_M in D(M)
and D^c(M) respectively. In this paper we show that the pair (D(M), D^c(M))
admits a topological (\prod^\omega \ell_2, \sum^\omega \ell_2)-factor. In the
case n = 2, this enables us to apply the characterization of (\prod^\omega
\ell_2, \sum^\omega \ell_2)-manifolds and show that the pair (D(M)_0, D^c(M)_0)
is a (\prod^\omega \ell_2, \sum^\omega \ell_2)-manifold and determine its
topological type. We also obtain a similar result for groups of homeomorphisms
of non-compact topological 2-manifolds.

33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th