A counterexample to infinite-dimensional version of the Morse-Sard theorem

DOI10.1007/s11766-003-0085-3zbMath1030.58005OpenAlexW2318552798WikidataQ124822464 ScholiaQ124822464MaRDI QIDQ1812219

Haiyi Jiang

Publication date: 13 October 2003

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-003-0085-3

zbMATH Keywords

Fréchet differentiabilityrankHausdorff measureMorse critical points

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Unnamed Item
• On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane
• On the image size of singular maps. II
• De nouvelles perspectives sur le théorème de Morse–Sard
• Hausdorff Measure of Critical Images on Banach Manifolds
• Counterexample to the Morse-Sard Theorem in the Case of Infinite-Dimensional Manifolds
• The measure of the critical values of differentiable maps

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