A proof of Morse's theorem about the cancellation of critical points
Geometric Topology
2013-07-10 v1
Abstract
In this note, we give a proof of the famous theorem of M. Morse dealing with the cancellation of a pair of non-degenerate critical points of a smooth function. Our proof consists of a reduction to the one-dimensional case where the question becomes easy to answer.
Keywords
Cite
@article{arxiv.1307.2545,
title = {A proof of Morse's theorem about the cancellation of critical points},
author = {Francois Laudenbach},
journal= {arXiv preprint arXiv:1307.2545},
year = {2013}
}