Smooth selection for infinite sets

DOI10.1016/j.aim.2022.108566OpenAlexW3199565428MaRDI QIDQ2166341

Yanyan Li

Publication date: 24 August 2022

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

Full work available at URL: https://arxiv.org/abs/2109.04905

zbMATH Keywords

linear systemWhitney problemssmooth selectionGlaeser refinementnonnegative extensionrange-restricted extension

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Extension of maps (54C20) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• The Brenner-Hochster-Kollár and Whitney problems for vector-valued functions and jets
• Interpolation of data by smooth nonnegative functions
• Étude de quelques algèbres tayloriennes
• Whitney's extension problem for \(C^m\)
• Fitting a \(C^m\)-smooth function to data. II
• Differentiable functions defined in closed sets. A problem of Whitney
• Lipschitz selections of set-valued mappings and Helly's theorem
• Sharp finiteness principles for Lipschitz selections
• Barycentric selectors and a Steiner-type point of a convex body in a Banach space
• Algorithms for nonnegative \(\mathrm{C}^2(\mathbb R^2)\) interpolation
• On the core of a low dimensional set-valued mapping
• Nonnegative \(\mathrm C^2(\mathbb R^2)\) interpolation
• \(C^2(\mathbb{R}^2)\) nonnegative extension by bounded-depth operators
• A sharp form of Whitney's extension theorem
• Fitting a \(C^m\)-smooth function to data. I.
• Fitting a \(C^m\)-smooth function to data. III.
• Interpolation and extrapolation of smooth functions by linear operators
• A generalized sharp Whitney theorem for jets
• Finiteness principles for smooth selection
• The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces
• Continuous closure, axes closure, and natural closure
• Continuous Solutions of Linear Equations
• Fitting Smooth Functions to Data
• On Lipschitz selections of affine-set valued mappings

This page was built for publication: Smooth selection for infinite sets