Global Surjectivity of Submersions Via Contractibility of the Fibers

DOI10.2307/2155017zbMath0849.58005OpenAlexW4235019272MaRDI QIDQ4875787

Patrick J. Rabier

Publication date: 10 November 1996

Full work available at URL: https://doi.org/10.2307/2155017

zbMATH Keywords

surjectivityimplicit function theoremsubmersionscontractible fibers

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Fiber bundles in algebraic topology (55R10) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (3)

A Hadamard-type open map theorem for submersions and applications to completeness results in control theory ⋮ Nonlinear Fredholm operators with concompact fibers and applications to elliptic problems on \(\mathbb{R}^N\) ⋮ A substitute for the Sard-Smale theorem in the \(C^1\) case

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• On the Singularities of Nonlinear Fredholm Operators of Positive Index
• Differential Topology
• On global diffeomorphisms of euclidian space
• Differentiable norms in Banach spaces

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