Lipschitz geometry of curves and surfaces definable in o-minimal structures
Lev Birbrair
Source: Illinois J. Math. Volume 52, Number 4
(2008), 1325-1353.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.ijm/1258554366
Zentralblatt MATH identifier: 05660662
Mathematical Reviews number (MathSciNet): MR2595771
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Illinois Journal of Mathematics
