Algebras Q(f) determine the topological types of generic map-germs

DOI10.1007/BF01389916zbMath0408.58012OpenAlexW2070469483MaRDI QIDQ1258544

Masako Fukuda, Takuo Fukuda

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142632

zbMATH Keywords

Associated R-AlgebrasGeneric Map-GermsTopological TypesTopologically Equivalent

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items

The local model of an isotropic map-germ arising from one-dimensional symplectic reduction, Topological sufficiency of smooth map-germs, Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space, Bi-Lipschitz \(\mathcal A\)-equivalence of \(\mathcal K\)-equivalent map-germs

Cites Work

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• Types topologiques des polynômes
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras