Topological sufficiency of smooth map-germs

DOI10.1007/BF01393375zbMath0484.58009MaRDI QIDQ1163772

John D. Randall

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/142902

zbMATH Keywords

codimension of unfoldingdecomposition of the jet space by semialgebraic setsk-jets of smooth map-germstopological sufficiency of smooth map-germstopologically equivalent map-germs

Mathematics Subject Classification ID

Jets in global analysis (58A20) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Cites Work

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• Finite determinacy and topological triviality. I
• 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
• On \(C^0\)-sufficiency of jets of potential functions
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type

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