Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How much information about a dynamical system do its recurrences
  contain?   We show that, under suitable assumptions, Poincare recurrences of a dynamical
system determine its topology in phase space. Therefore, dynamical systems with
the same recurrences are topologically equivalent.

8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
19
The categories of this paper are: eess