Definable smoothing of Lipschitz continuous functions

zbMath1193.03064MaRDI QIDQ733335

Andreas Fischer

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1248355351

zbMATH Keywords

approximationLipschitz functiono-minimal expansion of a real closed field

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64)

Related Items (1)

Approximation of o-minimal maps satisfying a Lipschitz condition

Cites Work

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• Smooth approximation of Lipschitz functions on Riemannian manifolds
• 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
• The real field with convergent generalized power series
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function

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