Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of Reidemeister-Singer's theorem by Cerf's methods   Heegaard splittings and Heegaard diagrams of a closed 3-manifold M are
translated into the language of Morse functions with Morse-Smale
pseudo-gradients defined on M. We make use in a very simple setting of
techniques which Jean Cerf developed for solving a famous pseudo-isotopy
problem. In passing, we show how to cancel the supernumerary local extrema in a
generic path of functions when dim M>2. The main tool that we introduce is an
elementary swallow tail lemma which could be useful elsewhere.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an