C'est un petit val qui mousse de fonctions

Abstract

Easy lowering local minima, after introducing valley functions on smooth manifolds gives, without gluing technicities, "M. Morse's lemma's" canonical form, moving critical values and eliminating pair of critical points theorems, reducing the last to its one dimensional case.

arXiv commentin French language, contrary to the previous versions arxiv'latex don't succeed convert ps to pdf, only to compile by pdflatex but the figures are lost, look at it on the previous version