Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On plastikstufe, bordered Legendrian open book and overtwisted contact
  structures   In this paper we prove the presence of an embedded plastikstufe implies
overtwistedness of the contact structure in any dimension. Moreover, we show in
dimension 5 that the presence of an embedded bordered Legendrian open book
(bLob) also implies overtwistedness. Applications of these criteria to certain
(contact) fibered connected sums and open books are discussed.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph