3 papers
math.MG2025
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…
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…