Bi-Lipschitz \(\mathcal A\)-triviality of map germs and Newton filtrations

DOI10.1016/J.TOPOL.2011.09.017zbMath1269.32004OpenAlexW2046388711MaRDI QIDQ664648

João Carlos Ferreira Costa, Marcelo José Saia, Carlos Humberto Soares Júnior

Publication date: 2 March 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.017

zbMATH Keywords

Newton filtrationbi-Lipschitz \(\mathcal A\)-triviality

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Real-analytic functions (26E05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (1)

Bi-Lipschitz \(\mathcal A\)-equivalence of \(\mathcal K\)-equivalent map-germs

Cites Work

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• \(C^\ell\)-determinacy of weighted homogeneous germs
• \(C^{\ell}\)-\(G\)-triviality of map germs and Newton polyhedra, \(G=\mathcal{R},\mathcal{C}\) and \(\mathcal{K}\)
• Finite determinacy and topological triviality. I
• Polyedres de Newton et nombres de Milnor
• On the degree of $C^l$-determinacy.
• Newton filtrations, graded algebras and codimension of non-degenerate ideals
• BILIPSCHITZ DETERMINACY OF QUASIHOMOGENEOUS GERMS Research partially supported by CNPq, Brazil, grant 14049900-8. Research partially supported by CNPq, Brazil, grant 30006688-0, and by FAPESP, Brazil, grant 9710735-3.

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