Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structural properties of bounded one-sided surfaces in link spaces   Various structural properties are developed for non-orientable surfaces in
link spaces. The M\"obius band tree is described to represent genus growth of
one-sided surfaces in solid tori. The structure of the Tree allows various
insights into the change of genus under boundary slope, which are not possible
using the existing continued fractions algorithm. A restriction under which
geometrically incompressible, boundary compressible one-sided surfaces have a
unique boundary incompressible form away from the boundary is established.

26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph