Approximation of o-minimal maps satisfying a Lipschitz condition

DOI10.1016/j.apal.2013.10.003zbMath1315.03059OpenAlexW2075163303MaRDI QIDQ386146

Andreas Fischer

Publication date: 16 December 2013

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2013.10.003

zbMATH Keywords

approximationLipschitz mapso-minimal structure

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Real algebraic and real-analytic geometry (14P99) Model theory of ordered structures; o-minimality (03C64)

Related Items (1)

Approximations in globally subanalytic and Denjoy-Carleman classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces
• Definable smoothing of Lipschitz continuous functions
• Smooth approximation of Lipschitz functions on Riemannian manifolds
• Smooth approximations
• An o-minimal structure which does not admit \(C^\infty\) cellular decomposition
• Nash manifolds
• Splitting theorems for nonnegatively curved open manifolds with large ideal boundary
• Geometry of subanalytic and semialgebraic sets
• Approximation theorems in o-minimal structures
• Geometric categories and o-minimal structures
• O-minimal \(\Lambda ^{m}\)-regular stratification
• The Field of Reals with Multisummable Series and the Exponential Function
• Definable versions of theorems by Kirszbraun and Helly
• John functions for o-minimal domains
• The real field with convergent generalized power series
• On regularization in superreflexive Banach spaces by infimal convolution formulas
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Approximation by functions with bounded derivative on Banach spaces
• On o-minimal expansions of Archimedean ordered groups
• Approximation and regularization of Lipschitz functions: Convergence of the gradients
• Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function

This page was built for publication: Approximation of o-minimal maps satisfying a Lipschitz condition