Lipschitz stratifications in power-bounded o-minimal fields

@article{Halupczok2015LipschitzSI,
  title={Lipschitz stratifications in power-bounded o-minimal fields},
  author={Immanuel Halupczok and Yimu Yin},
  journal={arXiv: Logic},
  year={2015}
}
  • 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

    Figures from this paper.

    Generalized Euler characteristic in power-bounded T-convex valued fields
    • 3
    • PDF
    Hensel minimality.
    • 1
    • PDF
    Non-archimedean stratifications in T-convex fields.
    Algebro-geometric equisingularity of Zariski.
    Lipschitz Stratification of Complex Hypersurfaces in Codimension 2.

    References

    Publications referenced by this paper.
    EXPONENTIATION IS HARD TO AVOID
    • 103
    • PDF