Infinitely Peano differentiable functions in polynomially bounded o-minimal structures
نویسندگان
چکیده
منابع مشابه
Infinitely Peano differentiable functions in polynomially bounded o-minimal structures
Let R be an o-minimal expansion of a real closed field. We show that the definable infinitely Peano differentiable functions are smooth if and only if R is polynomially bounded.
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2010
ISSN: 0168-0072
DOI: 10.1016/j.apal.2010.06.001