17 citations · 44 across the 18 of their papers we have counts for
4 papers · 1 filter
On characterization of smoothness of complex analytic sets
Alexandre Fernandes, José Edson Sampaio
The paper is devoted to metric properties of singularities. We investigate the relations among topology, metric properties and smoothness. In particular, we present some higher dim…
On the Fukui-Kurdyka-Paunescu Conjecture
Alexandre Fernandes, Zbigniew Jelonek, José Edson Sampaio
In this paper, we prove Fukui-Kurdyka-Paunescu's Conjecture, which says that subanalytic arc-analytic bi-Lipschitz homeomorphisms preserve the multiplicities of real analytic sets.…
Multiplicity, regularity and blow-spherical equivalence of real analytic sets
José Edson Sampaio
This article is devoted to studying multiplicity and regularity of real analytic sets. We present an equivalence for real analytic sets, named blow-spherical equivalence, which gen…
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 (…