度量空间的渐近秩
微分几何
2008-10-20 v3 度量几何
摘要
在本文中，我们定义并研究了度量空间的渐近秩这一概念，并在主要定理中证明，对于一大类空间，其渐近秩由高阶填充函数的增长所刻画。对于Alexandrov意义下非曲率的真、余紧、单连通测地度量空间，其渐近秩等于其欧氏秩。
引用
@article{arxiv.math/0701212,
title = {The asymptotic rank of metric spaces},
author = {Stefan Wenger},
journal= {arXiv preprint arXiv:math/0701212},
year = {2008}
}
备注
Theorem 4.1 in Version 2 and its proof have been moved into a new paper, see reference in the new version. Some new references have been added