Lipschitz contact equivalence and real analytic functions

Lev Birbrair; Rodrigo Mendes

Lipschitz contact equivalence and real analytic functions

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arxiv 1801.05842 v1 pith:FY76JAPP submitted 2018-01-17 math.MG

Lev Birbrair , Rodrigo Mendes This is my paper · ORCID

classification math.MG

keywords analyticcontactequivalencefunctionsinvariantlipschitzpizzaproperties

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We study the properties of the a complete invariant of the analytic function of two variables with respect to the Lipschitz contact equivalence. This invariant is called pizza. We prove that the pizza of real analytic functions has some continuity properties.

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For snakes and circular snakes, greedy pancake decompositions are minimal and canonical up to weakly outer bi-Lipschitz equivalence.

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