Uniform Morse lemma and isotopy criterion for Morse functions on surfaces

DOI10.3103/S0027132209040032zbMath1304.58009OpenAlexW1971879290WikidataQ124829358 ScholiaQ124829358MaRDI QIDQ2513078

E. A. Kudryavtseva

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132209040032

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singularities of differentiable mappings in differential topology (57R45)

Related Items (3)

Special framed Morse functions on surfaces ⋮ Connected components of spaces of Morse functions with fixed critical points ⋮ On the homotopy type of spaces of Morse functions on surfaces

Cites Work

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• Idempotent analysis as a tool of control theory and optimal synthesis. I
• Path-components of Morse mappings spaces of surfaces
• Homotopy types of stabilizers and orbits of Morse functions on surfaces
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Realization of smooth functions on surfaces as height functions
• CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS
• Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)

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