Real Algebraic and Analytic Geometry
Submission: 2007, February 20.
We give a complete characterisation of the sets in which Peano derivatives of functions, which are definable in an o-minimal expansion of a real closed field, are continuously respectively Fréchet differentiable.
Mathematics Subject Classification (2000): 03C64, 14P10, 26B05, 32B20, 46G05, 46E25.
Keywords and Phrases: Peano differentiable function, o-minimal structure, continuity properties.
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