Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non existence of Type II singularities for embedded and unknotted space
  curves   In this paper we prove that a certain class of embedded unknotted curves in
$\mathbb{R}^3$ evolving under curve shortening flow do not form singularities
Type II before collapsing to a point. Our proof uses tools of the minimal
surface theory to study a suitable isoperimetric ratio.

0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th