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Surjective Mappings Whose Differential is Nowhere Surjective

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Publication:3349624
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DOI10.2307/2047888zbMath0727.58005OpenAlexW4246594082MaRDI QIDQ3349624

Yosef Yomdin

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2047888


zbMATH Keywords

Sard's theoremcritical pointssurjective mapping


Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)


Related Items (4)

A Sard theorem for tame set-valued mappings ⋮ On smooth, nonlinear surjections of Banach spaces ⋮ On the image size of singular maps. II ⋮ Whitney’s example by way of Assouad’s embedding



Cites Work

  • Unnamed Item
  • Critical and near-critical values in polynomial control problems. I: One- dimensional case
  • The geometry of critical and near-critical values of differentiable mappings
  • A function not constant on a connected set of critical points
  • Analytic Extensions of Differentiable Functions Defined in Closed Sets
  • The measure of the critical values of differentiable maps


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