Lipschitz contact equivalence and real analytic functions
Lev Birbrair, Rodrigo Mendes
TL;DR
This paper investigates a complete invariant called 'pizza' for classifying real analytic functions of two variables under Lipschitz contact equivalence, demonstrating its continuity properties.
Contribution
It introduces and analyzes the 'pizza' invariant, establishing its continuity properties for real analytic functions under Lipschitz contact equivalence.
Findings
The 'pizza' invariant is a complete invariant for Lipschitz contact equivalence.
The 'pizza' invariant exhibits certain continuity properties.
The study advances understanding of classification of real analytic functions.
Abstract
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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Taxonomy
TopicsFunctional Equations Stability Results · Optimization and Variational Analysis · Point processes and geometric inequalities