Abstract
The paper is devoted to the generalization of the theory of Hoelder Complexes, i.e., Lipschitz classification of germs of semialgebraic surfaces, for the definable surfaces in o-minimal structures. The theory is based on the Rosenlicht valuations on the corresponding Hardy fields. We obtain a complete answer for the case of polynomially bounded o-minimal structures and for the case of isolated singularities for general o-minimal structures.
Citation
Lev Birbrair. "Lipschitz geometry of curves and surfaces definable in o-minimal structures." Illinois J. Math. 52 (4) 1325 - 1353, Winter 2008. https://doi.org/10.1215/ijm/1258554366
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