A numerical approach to some basic theorems in singularity theory

DOI10.1002/mana.201200275zbMath1292.65023arXiv1208.3624OpenAlexW1895180026MaRDI QIDQ5419514

Ta Lê Loi, Phan Phien

Publication date: 10 June 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3624

zbMATH Keywords

singularitiesdifferentiable mappingimplicit function theoremMorse-Sard theoremsingularity theoryexplicit boundsLipschitz mappingMorse functionsrank theoremquantitative versions

Mathematics Subject Classification ID

Numerical differentiation (65D25) Singularities of differentiable mappings in differential topology (57R45) Differentiable maps on manifolds (58C25) Critical points of functions and mappings on manifolds (58K05) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (1)

Fold maps associated to geodesic random walks on non-positively curved manifolds

Cites Work

• On the inverse function theorem
• Tame geometry with application in smooth analysis
• The geometry of critical and near-critical values of differentiable mappings
• Optimization and nonsmooth analysis
• Some quantitative results on Lipschitz inverse and implicit functions theorems
• Some quantitative results in singularity theory
• Unnamed Item
• Unnamed Item

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