Infinitesimal bi-Lipschitz Equivalence of Functions

2016/01/20 by Terence Gaffney, Gaffney, Terence
Mathematics · #32S15 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Complex Variables (math.CV) #FOS: Mathematics #math.AC #math.AG #math.CV #msc:32S15

paper · pdf · doi:10.48550/arxiv.1601.05147

17 pages. A talk on the material of this paper was given at the singularities section of the Colóquio Brasileiro de Matemática in July 2015

arxiv created 2016/01/20 · arxiv updated 2016/01/21

Abstract

We introduce two different notions of infinitesimal bi-Lipschitz equivalence for functions, one related to bi-Lipschitz triviality of families of functions, one related to homeomorphisms which are bi-Lipschitz on the fibers of the functions in the family. We show that the first is not a generic condition, and that the second is.

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