Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-Covering, Finiteness, And Fibering Over A Circle   A topological space is called self-covering if it is a nontrivial cover of
itself. We prove that a closed self-covering manifold $M$ with free abelian
fundamental group fibers over a circle under certain assumptions. In
particular, we give a complete answer to the question whether a self-covering
manifold with fundamental group $\mathbb Z$ is a fiber bundle over $S^1$,
except for the $4$-dimensional smooth case. As an algebraic Hilfssatz, we
develop a criterion for finite generation of modules over a commutative
Noetherian ring. We also construct examples of self-covering manifolds with
non-free abelian fundamental group, which are not fiber bundles over $S^1$

28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics