Lipschitz stratifications in power-bounded o-minimal fields

  title={Lipschitz stratifications in power-bounded o-minimal fields},
  author={Immanuel Halupczok and Yimu Yin},
  journal={arXiv: Logic},
  • Immanuel Halupczok, Yimu Yin
  • Published 2015
  • Mathematics
  • arXiv: Logic
  • We propose to grok Lipschitz stratifications from a non-archimedean point of view and thereby show that they exist for closed definable sets in any power-bounded o-minimal structure on a real closed field. Unlike the previous approaches in the literature, our method bypasses resolution of singularities and Weierstrass preparation altogether; it transfers the situation to a non-archimedean model, where the quantitative estimates appearing in Lipschitz stratifications are sharpened into valuation… CONTINUE READING

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