The genericity of the infinitesimal Lipschitz condition for hypersurfaces

TL;DR

This paper advances the theory of infinitesimal Lipschitz equivalence by demonstrating its generic applicability to families of hypersurfaces with isolated singularities, contributing to singularity theory.

Contribution

It proves the genericity of the infinitesimal Lipschitz condition for hypersurfaces with isolated singularities, extending previous theoretical frameworks.

Findings

Infinitesimal Lipschitz condition is generic for hypersurfaces with isolated singularities.

The work supports broader applicability of Lipschitz equivalence in singularity classification.

Provides new tools for analyzing hypersurface singularities.

Abstract

We continue the development of the theory of infinitesimal Lipschitz equivalence, showing the genericity of the condition for families of hypersurfaces with isolated singularities.