Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the non-existence of certain branched covers   We prove that while there are maps $\bT^4\to\#^3(\bS^2\times\bS^2)$ of
arbitrarily large degree, there is no branched cover from $4$-torus to
$\#^3(\bS^2\times \bS^2)$. More generally, we obtain that, as long as $N$
satisfies a suitable cohomological condition, any $\pi_1$-surjective branched
cover $\bT^n \to N$ is a homeomorphism.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio