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    • Multiplicity of singularities is not a bi-Lipschitz invariant 

      Birbrair, L.; Fernandes, A.; Sampaio, J.E.; Verbitsky, M. (2020-01-17)
      It was conjectured that multiplicity of a singularity is bi-Lipschitz invariant. We disprove this conjecture constructing examples of bi-Lipschitz equivalent complex algebraic singularities with different values of multiplicity.