2023/11/30 by Lev Birbrair, Birbrair, Lev, Davi Lopes Alves de Medeiros +1 · 1 citation
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2311.18570
We study the ambient Lipschitz geometry of semialgebraic surfaces. It was discovered in \citeBBG that ambient Lipschitz Geometry is different from the outer Lipschtz geometry. We show that two surface germs in ℝ3, Lipschitz normally embedded and with isolated singularity, are ambient bi-Lipschitz equivalent if, and only if, they are outer bi-Lipschitz equivalent and ambient topologically equivalent.