Real Algebraic and Analytic Geometry

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121. Andreas Fischer:
Singularities of o-minimal Peano derivatives.

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Submission: 2007, February 20.

Abstract:
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.

Full text, 14p.: dvi 75k, ps.gz 173k, pdf 214k.


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