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Multiplicity of singularities as bi-Lipschitz invariant Fernandes, Alexandre


We prove that multiplicity of complex analytic singularities of dimension $d$ is invariant under bi-Lipschitz homeomorphisms if, and only if, $d=1$ or $d=2$. This result was obtained in joint works with J. de Bobadilla, J. E. Sampaio. and L. Birbrair, J. E. Sampaio, M. Verbitsky.

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