The Brenner-Hochster-Kollár and Whitney problems for vector-valued functions and jets

DOI10.4171/RMI/801zbMath1309.46011arXiv1209.2449OpenAlexW2963563717MaRDI QIDQ461283

Garving K. Luli, Charles L. Fefferman

Publication date: 10 October 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2449

zbMATH Keywords

Brenner-Hochster-Kollár problemcontinuous closuresdifferentiable closuresextending vector-valued functionsgeneralized Whitney problems

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Functions of several variables (26B99) Computational aspects in algebraic geometry (14Q99)

Related Items (8)

Finiteness principles for smooth selection ⋮ \(C^m\) semialgebraic sections over the plane ⋮ Smooth selection for infinite sets ⋮ \(C^2\) interpolation with range restriction ⋮ On \(C^m\) solutions to systems of linear inequalities ⋮ Unnamed Item ⋮ Solutions to a system of equations for \(C^m\) functions ⋮ \( \mathcal{C}^m\) solutions of semialgebraic or definable equations

Cites Work

• \({\mathcal C}^m\)-norms on finite sets and \({\mathcal C}^m\) extension
• The Whitney problem of existence of a linear extension operator
• Differentiable functions defined in closed sets. A problem of Whitney
• Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions
• Continuous closure, axes closure, and natural closure
• Unnamed Item

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