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arxiv: 1305.3352 · v1 · pith:LH5KAB2Jnew · submitted 2013-05-15 · 🧮 math.NA · cs.NA· math.DG

The quantitative Morse theorem

classification 🧮 math.NA cs.NAmath.DG
keywords quantitativetheoremmorseproofcitefunctiongiveinverse
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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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