4 papers
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 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…
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 b…
Moderately Discontinuous Homology
Javier Fernandez de Bobadilla, Sonja Heinze, Maria Pe Pereira +1
We introduce a new metric homology theory, Moderately Discontinuous Homology, which captures Lipschitz properties of metric subanalytic germs. The main novelty is to allow "moderat…