$\mathcal{K}$-bi-Lipschitz equivalence of real function-germs

DOI10.1090/S0002-9939-06-08566-2zbMath1116.32020OpenAlexW1527551631MaRDI QIDQ3420088

João Carlos Ferreira Costa, Lev Birbrair, Alexandre C. G. Fernandes, Maria Aparecida Soares Ruas

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08566-2

zbMATH Keywords

K-bi-Lipschitz equivalencereal function germs

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Local complex singularities (32S05)

Related Items (7)

Old and New Results on Density of Stable Mappings ⋮ \(C ^{0}\) and bi-Lipschitz \({\mathcal{K}}\)-equivalence of mappings ⋮ Basics on Lipschitz geometry ⋮ Topological \(\mathcal K\)-equivalence of analytic function-germs ⋮ Lipschitz classification of functions on a Hölder triangle ⋮ On the bi-Lipschitz contact equivalence of plane complex function-germs ⋮ Lipschitz geometry of pairs of normally embedded Hölder triangles

Cites Work

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• Topological \(\mathcal K\)-equivalence of analytic function-germs
• On topological types of polynomial mappings
• On contact between submanifolds
• Lipschitz properties of semi-analytic sets
• La stabilité topologique des applications polynomiales
• Finiteness of semialgebraic types of polynomial functions
• Types topologiques des polynômes
• Stability of \(C^ \infty\) mappings. V: Transversality

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