Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on homotopy minimal periods for hyperbolic maps on
  infra-nilmanifolds   In this paper, we show that for every non-nilpotent hyperbolic map $f$ on an
infra-nilmanifold, the $\textrm{HPer}(f)$ is cofinite in $\mathbb{N}$. This
generalizes a similar result for expanding maps. Moreover, we prove that for
every nilpotent map $f$ on an infra-nilmanifold, $\textrm{HPer}(f)=\{1\}$.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph