scientific article

zbMath0465.58008MaRDI QIDQ3917204

Yosef Yomdin

Publication date: 1981

Full work available at URL: http://www.numdam.org/item?id=CM_1981__43_2_225_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

cut locuscentral set of a closed subset of n-spacetopological normal forms

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Methods of local Riemannian geometry (53B21)

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Cites Work

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• The central function of the boundary of a domain and its differentiable properties
• On topological properties of the central set of a bounded domain in \(R^ m\).
• On the inverse function theorem
• Stability of the cut locus in dimensions less than or equal to 6
• Sur le cut-locus d'une variété plongee
• Generalized Gradients and Applications