%0 Journal Article
%T mu-constancy does not imply constant bi-Lipschitz type
%A Lev Birbrair
%A Alexandre Fernandes
%A Walter Neumann
%J Mathematics
%D 2008
%I arXiv
%X We show that a family of isolated complex hypersurface singularities with constant Milnor number may fail, in the strongest sense, to have constant bi-Lipschitz type. Our example is the Briac con--Speder family $X_t:=\{(x,y,z)\in\C^3 | x^5+z^{15}+y^7z+txy^6=0 \}$ of normal complex surface germs; we show the germ $(X_0, 0)$ is not bi-Lipschitz homeomorphic with respect to the inner metric to the germ $(X_t,0)$ for $t\ne 0$.
%U http://arxiv.org/abs/0809.0845v1