Topological \(\mathcal K\)-equivalence of analytic function-germs

DOI10.2478/s11533-010-0013-8zbMath1226.32014OpenAlexW2041855849MaRDI QIDQ707993

João Carlos Ferreira Costa, Lev Birbrair, Alexandre C. G. Fernandes, Sergio A. Alvarez

Publication date: 8 October 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0013-8

zbMATH Keywords

topological equivalencefunction-germstopological \(\mathcal K\)-equivalence

Mathematics Subject Classification ID

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

Related Items (4)

Topological \({\mathcal{K}}\)-classification of finitely determined map germs ⋮ \(C ^{0}\) and bi-Lipschitz \({\mathcal{K}}\)-equivalence of mappings ⋮ Basics on Lipschitz geometry ⋮ $\mathcal{K}$-bi-Lipschitz equivalence of real function-germs

Cites Work

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• Finiteness theorem for topological contact equivalence of map germs
• Finiteness of semialgebraic types of polynomial functions
• Types topologiques des polynômes
• Topological equivalence of smooth functions with isolated critical points on a closed surface
• $\mathcal{K}$-bi-Lipschitz equivalence of real function-germs
• Topological Types of Finitely-C 0 -K-Determined Map-Germs
• Finite Determinacy of Smooth Map-Germs
• Uniformization of Analytic Spaces

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