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A proof of Morses theorem about the cancellation of critical points

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 Added by Francois Laudenbach
 Publication date 2013
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and research's language is English




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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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