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C k-resolution of semialgebraic mappings. Addendum toVolume growth and entropy

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Abstract

We prove that a bounded semialgebraic function can be (piecewise) reparametrized in such a way that all the derivatives up to a fixed orderk, with respect to new coordinates, are small, and the number of pieces is effectively bounded.

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References

  1. M. Coste,Ensembles semi-algébriques, Lecture Notes in Math.959, Springer-Verlag, Berlin, 1982, pp. 109–138.

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  3. Y. Yomdin,Volume growth and entropy, Isr. J. Math.57 (1987), 285–300 (this issue).

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Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, Ben Gurion University of the Negev, Beer Sheva, Israel

    Y. Yomdin

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  1. Y. Yomdin
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Yomdin, Y. C k-resolution of semialgebraic mappings. Addendum toVolume growth and entropy . Israel J. Math. 57, 301–317 (1987). https://doi.org/10.1007/BF02766216

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  • DOI: https://doi.org/10.1007/BF02766216

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