Infinitesimal bi-Lipschitz Equivalence of Functions
  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. 
Terence Gaffney
math.CV math.AC math.AG