A note on the order of determination of a finitely determined germ

DOI10.1007/BF01403059zbMath0419.58004OpenAlexW1977112411MaRDI QIDQ1132437

Terence Gaffney

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/142643

zbMATH Keywords

finitely determined map germsorder of determination of map germs

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (11)

Determinacy and unipotency ⋮ Old and New Results on Density of Stable Mappings ⋮ Singularities of Mappings ⋮ Finite determinacy of matrices and ideals ⋮ On the determinacy of smooth map-germs ⋮ Unnamed Item ⋮ On the estimates of the order of finitelya k -determined map-germs ⋮ Characterizing singularities of varieties and of mappings ⋮ On finite determinacy for matrices of power series ⋮ Generalized splitting theorem for map-germs ⋮ On the tangent developable of a space curve

Cites Work

• On the order of determination of a finitely determined germ
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• Deploiements Stables des Germes de Type Fini, et Determination Finie des Applications Differentiables

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