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arXiv 2013-08-22 0 views

On the bi-Lipschitz contact equivalence of plane complex function-germs

Birbrair, Lev · Fernandes, Alexandre · Grandjean, Vincent

Original · EN

In this short note, we consider the problem of bi-Lipschitz contact equivalence of complex analytic function-germs of two variables. It is inquiring about the infinitesimal sizes of such function-germs, up to bi-Lipschitz changes of coordinates. We show that this problem is equivalent to the problem of the right topological classification.

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