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A proof of Morse's theorem about the cancellation of critical points
Published 9 Jul 2013 in math.GT | (1307.2545v1)
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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