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

DOI10.1007/s13398-012-0105-3zbMath1301.58020arXiv1302.4778OpenAlexW3123994500MaRDI QIDQ742210

João Carlos Ferreira Costa, Maria Aparecida Soares Ruas, Takashi Nishimura

Publication date: 18 September 2014

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4778

zbMATH Keywords

bi-Lipschitz\(\mathcal A\)-equivalenceLipschitz trivialLipschitz version of Fukuda-Fukuda theorem

Mathematics Subject Classification ID

Topological properties of mappings on manifolds (58K15) Deformation of singularities (58K60) Stability theory for manifolds (58K25)

Cites Work

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• Bi-Lipschitz \(\mathcal A\)-triviality of map germs and Newton filtrations
• Lipschitz properties of semi-analytic sets
• Topological stability of smooth mappings
• Algebras Q(f) determine the topological types of generic map-germs
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• Topological Equivalence of K -Equivalent Map Germs
• Lipschitz stratification of subanalytic sets
• 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.
• Criteria for right-left equivalence of smooth map-germs

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