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Definability and nondefinability results for certain o‐minimal structures
Author(s) -
Sfouli Hassan
Publication year - 2010
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200910105
Subject(s) - mathematics , function (biology) , combinatorics , biology , evolutionary biology
The main goal of this note is to study for certain o‐minimal structures the following propriety: for each definable C ∞ function g 0 : [0, 1] → ℝ there is a definable C ∞ function g : [– ε , 1] → ℝ, for some ε > 0, such that g ( x ) = g 0 ( x ) for all x ∈ [0, 1] (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)