On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane

DOI10.4310/jdg/1214453907zbMath0785.46043OpenAlexW1490312606WikidataQ115180188 ScholiaQ115180188MaRDI QIDQ688602

S. M. Bates

Publication date: 16 January 1994

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214453907

zbMATH Keywords

Sard's theoremcritical valuesseparable infinite-dimensional Banachsurjective \(C^ \infty\) mapping

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds ⋮ Approximation by smooth functions with no critical points on separable Banach spaces ⋮ On the image size of singular maps. II ⋮ A counterexample to infinite-dimensional version of the Morse-Sard theorem

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