Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual spheres have the same girth   Symplectic and Finsler geometry are used to settle a conjecture of Sch\"affer
stating that the girth of a normed space--the infimum of the lengths of all
closed, rectifiable, centrally symmetric curves on its unit sphere--equals the
girth of its dual.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph