Abstract

The main goal of this note is to study for certain o-minimal structures the following propriety: for each definable C∞ function g0: [0, 1] ℝ there is a definable C∞ function g: [–e, 1] ℝ, for some e > 0, such that g (x) = g0(x) for all x ∈ [0, 1] (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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