可定义集的 Cauchy-Crofton 公式与 Whitney 弧性质
逻辑
2010-11-09 v2
摘要
我们使用 Cauchy-Crofton 公式证明，在实数域扩张的 O-极小扩张中，每个可定义胞腔（以有理数半径的球为界）都满足 Whitney 弧性质。
引用
@article{arxiv.0812.2735,
title = {The Cauchy-Crofton formula and the Whitney arc property for definable sets},
author = {Elisa Vasquez Rifo},
journal= {arXiv preprint arXiv:0812.2735},
year = {2010}
}
备注
8 pages, This paper has been withdrawn by the author. The third sentence of the proof of Theorem 5.6 contained an error; the results are subsumed and extended by the paper "Hausdorff measure on o-minimal structures" with A. Fornasiero