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Multiplicity of singularities as bi-Lipschitz invariant

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Fernandes, Alexandre

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Multiplicity of singularities as bi-Lipschitz invariant
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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.