\(C ^{0}\) and bi-Lipschitz \({\mathcal{K}}\)-equivalence of mappings

DOI10.1007/s00209-010-0728-zzbMath1253.58017OpenAlexW2086760093MaRDI QIDQ641875

Maria Aparecida Soares Ruas, Guillaume Valette

Publication date: 25 October 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0728-z

zbMATH Keywords

\(\mathcal{K}\)-triviality\(C^0\)-\(\mathcal{K}\)-equivalencebi-Lipschitz \(\mathcal{K}\)-equivalence

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Germs of analytic sets, local parametrization (32B10) Classification; finite determinacy of map germs (58K40)

Related Items (4)

Old and New Results on Density of Stable Mappings ⋮ Topological \({\mathcal{K}}\)-classification of finitely determined map germs ⋮ Basics on Lipschitz geometry ⋮ On the bi-Lipschitz contact equivalence of plane complex function-germs

Cites Work

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• Topological \(\mathcal K\)-equivalence of analytic function-germs
• Lipschitz triangulations
• On the link of a stratum in a real algebraic set
• Topological stability of smooth mappings
• $\mathcal{K}$-bi-Lipschitz equivalence of real function-germs

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