Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A criterion for the existence of periodic points based on the
  eigenvalues of maps induced in cohomology   We present a criterion for the existence of periodic points based on the
eigenvalues of maps induced in cohomology for spaces with rational cohomology
isomorphic to a tensor product of a graded exterior algebra with generators in
odd dimensions and a graded algebra with all elements of even degree. We give a
number of natural examples of such spaces and provide some non-trivial ones. We
also give a counterexample to a claim in \cite{duan} given there without proof.

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The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol