Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Actions of homeomorphism groups of manifolds admitting a nontrivial
  finite free action   In this paper, we study the action of $\text{Homeo}_0(M)$, the identity
component of the group of homeomorphisms of an $n$-dimensional manifold $M$
with an $\mathbb{F}_p$-free action, on another manifold $N$ of dimension
$n+k<2n$. We prove that if $M$ is not an $\mathbb{F}_p$-homology sphere, then
$N\cong M\times K$ for a homology manifold $K$ such that the action of
$\text{Homeo}_0(M)$ on $M$ is standard and on $K$ is trivial. In particular,
for $M=S^n$ a sphere, any nontrivial action is a generalization of the
"coning-off" construction.

1
The categories of this paper are: cs
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin