C\({}^ 1\) local parametrized Morse theory

DOI10.1016/0166-8641(90)90046-5zbMath0723.57025OpenAlexW2057543837MaRDI QIDQ756792

Kiyoshi Igusa

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90046-5

zbMATH Keywords

stablesingularitiesfoliationjetssmooth manifoldsunstabletotal codimension

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Foliations in differential topology; geometric theory (57R30)

Related Items (2)

Fibre singularities of functions on principal \(S^ 1\)-bundles ⋮ Witten deformation using Lie groupoids

Cites Work

• Higher singularities of smooth functions are unnecessary
• On the homotopy type of the space of generalized Morse functions
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• The Space of Framed Functions
• CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS
• Singular Points of Complex Hypersurfaces. (AM-61)

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