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Israel Journal of Mathematics

, Volume 57, Issue 3, pp 301–317 | Cite as

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

  • Y. Yomdin
Article

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.

Keywords

Volume Growth Finite Collection Require Resolution Local Resolution Beer Sheva 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    M. Coste,Ensembles semi-algébriques, Lecture Notes in Math.959, Springer-Verlag, Berlin, 1982, pp. 109–138.Google Scholar
  2. 2.
    M. Gromov,Entropy, homology and semialgebraic geometry (after Y. Yomdin), Seminaire N. Bourbaki, Volume 1985–86, Exposé 663.Google Scholar
  3. 3.
    Y. Yomdin,Volume growth and entropy, Isr. J. Math.57 (1987), 285–300 (this issue).MATHMathSciNetGoogle Scholar

Copyright information

© Hebrew Univeristy 1987

Authors and Affiliations

  • Y. Yomdin
    • 1
  1. 1.Department of Mathematics and Computer SciencesBen Gurion University of the NegevBeer ShevaIsrael

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