Journal Articles Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Year : 2013

A proof of Morse's theorem about the cancellation of critical points

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.

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hal-00842792 , version 1 (09-07-2013)

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Francois Laudenbach. A proof of Morse's theorem about the cancellation of critical points. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2013, 351, pp.483-488. ⟨hal-00842792⟩
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