C k-resolution of semialgebraic mappings. Addendum toVolume growth and entropy
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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.
KeywordsVolume Growth Finite Collection Require Resolution Local Resolution Beer Sheva
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