Rodrigo Mendes

most citedMetrically un-knotted corank 1 singularities of surfaces in

R^{4}

8 citations · 10 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2018

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 $f : (R^{2}, 0) \to (R^{4}, 0)$ is a complete invariant for $C^{0}$ -$\mathsc…

math.MG2018★ 2 cited

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…

math.MG2017

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 $R^{n}$ in terms orders of contact of arcs. Namely, we prove…

math.AG2017

Finitness theorem for Multi-K-Bi-Lipschtiz equivalence of map-germs

Lev Birbrair, Joao Costa, Rodrigo Mendes +1

Let $P^{k} (n, p)$ be the set of all real polynomial map germs $f = (f_{1}, ..., f_{p}) : (R^{n}, 0) \to (R^{p}, 0)$ with degree of $f_{1}, ..., f_{p}$ less than…

math.AG2017★ 8 cited

Metrically un-knotted corank 1 singularities of surfaces in $R^{4}$

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 $R^{2}$ to $R^{4}$ . We show that for a big class o…

Topological Classification and Finite Determinacy of knotted maps

Lipschitz contact equivalence and real analytic functions

Arc criterion of normal embedding

Finitness theorem for Multi-K-Bi-Lipschtiz equivalence of map-germs

Metrically un-knotted corank 1 singularities of surfaces in R4

Metrically un-knotted corank 1 singularities of surfaces in $R^{4}$