Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-time behavior of 3 dimensional Ricci flow -- C: 3-manifold topology
  and combinatorics of simplicial complexes in 3-manifolds   In the third part of this series of papers, we establish several topological
results that will become important for studying the long-time behavior of Ricci
flows with surgery. In the first part of this paper we recall some elementary
observations in the topology of 3-manifolds. The main part is devoted to the
construction of certain simplicial complexes in a given 3-manifold that exhibit
useful intersection properties with embedded, incompressible solid tori. This
paper is purely topological in nature and Ricci flows will not be used.

8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph