3 papers
math.MG2025
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…
math.AG2025
On the Invariance of the Real Milnor Number under Asymptotically Lipschitz Equivalence
Raphael de Omena, José Edson Sampaio, Emanoel Souza
We investigate sufficient conditions for the invariance of the real Milnor number under -bi-Lipschitz equivalence for function-germs $ f, g \colon (\mathbb{R}^n, 0) \t…
math.MG2024
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…