16 citations · 18 across the 4 of their papers we have counts for
4 papers
Bi-Lipschitz A-equivalence of K-equivalent map germs
Joao Carlos Ferreira Costa, Takashi Nishimura, Maria Aparecida Soares Ruas
In this paper, two sufficient conditions are provided for given two K-equivalent map-germs to be bi-Lipschitz A-equivalent. These are Lipschitz analogues of the known results on C^…
The Nash modifications and the bi-Lipschitz equivalence
J. -P. Brasselet, A. Fernandes, N. G. Grulha +1
In this paper we investigate the relation betwen the Nash modification and the Bi-Lipschtiz equivalent germs in the cases of two germs and for a family of hypersurfaces with isolat…
Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane
Alexandre Fernandes, Maria Ruas
The main goal of this work is to show that if two weighted homogeneous (but not homogeneous) function-germs $(\C^2,0)\to(\C,0)$ are bi-Lipschitz equivalent, in the sense that these…
Topological Triviality of Families of Singular Surfaces
R. Callejas-Bedregal, K. Houston, M. A. S. Ruas
We study the topological triviality of families of singular surfaces in parametrized by -finitely determined map germs. We prove that the constancy of t…