5 papers · 1 filter
Lipschitz Geometry of Mixed Polynomials
Davi Lopes Medeiros, José Edson Sampaio, Eder Leandro Sanchez Quiceno
We investigate the (ambient) bi-Lipschitz V-equivalence of two-variable mixed polynomials satisfying the Newton inner non-degeneracy condition. Concerning triviality, we show that…
On the minimality of pancake decomposition of surface germs
Davi Lopes Medeiros, Euripedes Carvalho da Silva, Emanoel Souza
The abnormal surfaces called snakes and circular snakes, defined in \cite{GabrielovSouza}, are special types of surface germs capturing the outer Lipschitz phenomena relevant to th…
Lipschitz geometry and combinatorics of circular snakes
André Costa, Davi Medeiros, Emanoel Souza
This paper explores the Lipschitz geometric and combinatorial properties of germs of real semialgebraic surfaces (or, more generally, definable in a polynomially bounded o-minimal…
Ambient Lipschitz geometry of normally embedded surface germs
Lev Birbrair, Davi Lopes Medeiros
We study the ambient Lipschitz geometry of semialgebraic surfaces. It was discovered in \cite{BBG} that ambient Lipschitz Geometry is different from the outer Lipschtz geometry. We…
Moderately discontinuous homology of real surfaces
Davi Lopes Medeiros, José Edson Sampaio, Emanoel Souza
The Moderately Discontinuous Homology (MD-Homology, for short) was created recently in 2022 by Fernández de Bobadilla at al. and it captures deep Lipschitz phenomena. However, to…