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arxiv: 1601.05147 · v1 · pith:AUZVNKO2new · submitted 2016-01-20 · 🧮 math.CV · math.AC· math.AG

Infinitesimal bi-Lipschitz Equivalence of Functions

classification 🧮 math.CV math.ACmath.AG
keywords bi-lipschitzfunctionsequivalenceinfinitesimalrelatedconditiondifferentfamilies
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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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