A substitute for the Sard-Smale theorem in the \(C^1\) case

DOI10.1007/BF02786938zbMath0924.58001OpenAlexW2008479398MaRDI QIDQ1283062

Patrick J. Rabier, Jacobo Pejsachowicz

Publication date: 8 November 1999

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786938

zbMATH Keywords

Banach manifoldFredholm perturbationSard-Smale theoremapproximation of homotopies

Mathematics Subject Classification ID

Linear operator inequalities (47A63) (Semi-) Fredholm operators; index theories (47A53) Fredholm structures on infinite-dimensional manifolds (58B15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (2)

Classical injective solutions in the large in incompressible nonlinear elasticity ⋮ Degree theory for \(C^1\) Fredholm mappings of index 0

Cites Work

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• Approximation de fonctions différentiables sur certains espaces de Banach
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
• Degree theory for \(C^1\) Fredholm mappings of index 0
• Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings
• The degree of proper \(C^ 2\) Fredholm mappings: Covariant theory
• Lusternik-Schnirelman theory on Banach manifolds
• Differential Topology
• Global Surjectivity of Submersions Via Contractibility of the Fibers
• An Infinite Dimensional Version of Sard's Theorem
• Differentiable norms in Banach spaces
• Hausdorff Conullity of Critical Images of Fredholm Maps

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