Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pro-groups and generalizations of a theorem of Bing   A matchbox manifold is a generalized lamination, which is a continuum whose
path components define the leaves of a foliation of the space. A matchbox
manifold is M-like if it has the shape of a fixed topological space M. When M
is a closed manifold, in a previous work, the authors have shown that if $\frak
M$ is a matchbox manifold which is M-like, then it is homeomorphic to a weak
solenoid. In this work, we associate to a weak solenoid a pro-group, whose
pro-isomorphism class is an invariant of the homeomorphism class of $\frak M$.
We then show that an M-like matchbox manifold is homeomorphic to a weak
solenoid whose base manifold has fundamental group which is non co-Hopfian;
that is, it admits a non-trivial self-embedding of finite index. We include a
collection of examples illustrating this conclusion.

21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an