The Cauchy-Crofton formula and the Whitney arc property for definable sets

Details The Cauchy-Crofton formula and the Whitney arc property for definable sets The Cauchy-Crofton formula and the Whitney arc property for definable sets

2008-12-15

arxiv.org/abs/0812.2735v2

Mathematics

Logic

8 pages, This paper has been withdrawn by the author. The third sentence of the proof of Theorem 5.6 contained an error; the r

Scientific paper

We use the Cauchy-Crofton formula to show that every definable cell (bounded
by a ball with rational radius) in an O-minimal expansion of a field extension
of the real numbers satisfies the Whitney arc property.

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