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The quantitative Morse theorem

Published 15 May 2013 in math.NA and math.DG | (1305.3352v1)

Abstract: In this paper, we give a proof of the quantitative Morse theorem stated by {Y. Yomdin} in \cite{Y1}. The proof is based on the quantitative Sard theorem, the quantitative inverse function theorem and the quantitative Morse lemma.

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