The quantitative Morse theorem

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Loi, Ta Le; Phien, Phan;
  • Subject: Primary 58K05, Secondary 58E05, 97N40 | Mathematics - Numerical Analysis | Mathematics - Differential Geometry
    arxiv: Mathematics::Symplectic Geometry

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.
  • References (8)

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    [12] Y. Yomdin, Some quantitative results in singularity theory, Anales Polonici Mathematici, 37 (2005), 277-299.

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    Received: September, 2011

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