Rodrigo Mendes

activity

20172023

most citedMetrically un-knotted corank 1 singularities of surfaces in

R^{4}

8 citations · 10 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AG2023

Multi- $K$ -Lipschitz equivalence in dimension two

Lev Birbrair, Rodrigo Mendes

In this paper, we study Multi- $K$ -equivalence of multi-germs of functions on the plane, definable in a polynomially bounded o-minimal structure. We partition the germ of…

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.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…

Multi-K-Lipschitz equivalence in dimension two

Topological Classification and Finite Determinacy of knotted maps

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

Metrically un-knotted corank 1 singularities of surfaces in R4

Multi- $K$ -Lipschitz equivalence in dimension two

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