On \(C^m\) solutions to systems of linear inequalities

DOI10.1016/j.aim.2023.109025OpenAlexW4365460349MaRDI QIDQ2700638

Yanyan Li

Publication date: 27 April 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.14214

zbMATH Keywords

systems of linear inequalitiesWhitney problemsGlaeser refinement

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Approximation with constraints (41A29) Continuity and differentiation questions (26B05) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Cites Work

• The Brenner-Hochster-Kollár and Whitney problems for vector-valued functions and jets
• Continuous selections. I
• Étude de quelques algèbres tayloriennes
• Whitney's extension problem for \(C^m\)
• Differentiable functions defined in closed sets. A problem of Whitney
• Sharp finiteness principles for Lipschitz selections
• Solutions to a system of equations for \(C^m\) functions
• Generators for the \(C^m\)-closures of ideals
• \( \mathcal{C}^m\) solutions of semialgebraic or definable equations
• \(C^m\) semialgebraic sections over the plane
• Smooth selection for infinite sets
• Continuous closure, axes closure, and natural closure
• Continuous Solutions of Linear Equations
• On the Shape Fields Finiteness Principle

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