Surjective mappings whose differential is nowhere surjective. (English) Zbl 0727.58005
Interesting examples of surjective \(C^ k\)-mappings f: \({\mathbb{R}}^ n\to {\mathbb{R}}^ m\), \(n\geq m>2\) are given such that rank df(x)\(\leq s\) for any \(x\in {\mathbb{R}}^ n\), \(2\leq s<m\) and any \(k<(n-s+2)/(m-s+2).\) Related open questions are stated.
Reviewer: A.Dimca (Sydney)
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