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

Journal of Singularities
volume 13 (2015), 1-10

Received 14 August 2013. Received in revised form 20 August 2014.

DOI: 10.5427/jsing.2015.13a

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Abstract:

In this note, we consider the problem of bi-Lipschitz contact equivalence of complex analytic function-germs of two variables. Basically, 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 right topological classification of such function-germs.

Mathematical Subject Classification:

14B05, 32S05, 58K50