8 citations · 11 across the 7 of their papers we have counts for
7 papers
Multi--Lipschitz equivalence in dimension two
Lev Birbrair, Rodrigo Mendes
In this paper, we study Multi--equivalence of multi-germs of functions on the plane, definable in a polynomially bounded o-minimal structure. We partition the germ of…
On the link of Lipschitz normally embedded sets
Rodrigo Mendes, José Edson Sampaio
A path-connected subanalytic subset in is naturally equipped with two metrics: the inner and the outer metrics. We say that a subset is Lipschitz normally embedded (…
Topological Classification and Finite Determinacy of knotted maps
Juan José Nuño Ballesteros, Rodrigo Mendes
We show that the knot type of the link of a real analytic map germ with isolated singularity is a complete invariant for -$\mathsc…
Lipschitz contact equivalence and real analytic functions
Lev Birbrair, Rodrigo Mendes
We study the properties of the a complete invariant of the analytic function of two variables with respect to the Lipschitz contact equivalence. This invariant is called pizza. We…
Arc criterion of normal embedding
Lev Birbrair, Rodrigo Mendes
We present a criterion of local Normal Embedding of a semialgebraic (or definable in an o-minimal structure) contained in in terms orders of contact of arcs. Namely, we prove…
Finitness theorem for Multi-K-Bi-Lipschtiz equivalence of map-germs
Lev Birbrair, Joao Costa, Rodrigo Mendes +1
Let be the set of all real polynomial map germs with degree of less than…
Metrically un-knotted corank 1 singularities of surfaces in
Lev Birbrair, Rodrigo Mendes, Juan Jose Nuño-Ballesteros
The paper is devoted to relations between topological and metric properties of germs of real surfaces, obtained by analytic maps from to . We show that for a big class o…