Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measure-preserving homeomorphisms of noncompact manifolds and mass flow
  toward ends   Suppose M is a noncompact connected n-manifold and m is a good Radon measure
of M with m(bdry M) = 0. Let H(M; m) denote the group of m-preserving
homeomorphisms of M equipped with the compact-open topology and H_E(M; m)
denote the subgroup consisting of all h in H(M; m) which fix the ends of M.
Each h in H_E(M; m) moves mass toward ends and this quantity is measured by a
mass flow homomorphism J : H_E(M; m) -> V_m, where V_m is a topological vector
space. We show that the map J has a continuous section. This induces the
factorization H_E(M; m) cong Ker J times V_m and implies that Ker J is a strong
deformation retract of H_E(M; m).

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas