Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of Ricci Flow Through Neck Pinch Singularities   In this article, we consider the Angenent-Caputo-Knopf's Ricci Flow through
neckpinch singularities. We will explain how one can see the A-C-K's Ricci flow
through a neckpinch singularity as a flow of integral current spaces. We then
prove the continuity of this weak flow with respect to the Sormani-Wenger
Intrinsic Flat (SWIF) distance.

21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph