Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symbolic extensions for 3-dimensional diffeomorphisms   We prove that every $\mathcal{C}^{r}$ diffeomorphism with $r>1$ on a
three-dimensional manifold admits symbolic extensions, i.e. topological
extensions which are subshifts over a finite alphabet. This answers positively
a conjecture of Downarowicz and Newhouse in dimension three.

29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an