Approximation of o-minimal maps satisfying a Lipschitz condition

Annals of Pure and Applied Logic 165 (3):787-802 (2014)
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Abstract

Consider an o-minimal expansion of the real field. We show that definable Lipschitz continuous maps can be definably fine approximated by definable continuously differentiable Lipschitz maps whose Lipschitz constant is close to that of the original map

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10.1016/j.apal.2013.10.003

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References found in this work

Tame Topology and O-Minimal Structures.Lou van den Dries - 2000 - Bulletin of Symbolic Logic 6 (2):216-218.
O -minimal Λ m -regular stratification.Andreas Fischer - 2007 - Annals of Pure and Applied Logic 147 (1):101-112.

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