Urysohn 球是振荡稳定的
度量几何
2014-01-07 v3 组合数学
摘要
我们解决了 Urysohn 球的振荡稳定性问题，这是希尔伯特空间畸变问题在 Urysohn 通用度量空间背景下的类比。这一成果是通过解决一个纯组合问题实现的，该问题涉及具有有限多个距离的可数齐次度量空间族。
引用
@article{arxiv.0710.2884,
title = {The Urysohn sphere is oscillation stable},
author = {L. Nguyen Van Thé and N. W. Sauer},
journal= {arXiv preprint arXiv:0710.2884},
year = {2014}
}
评论
21 pages, 1 figure. This is the post-last version of the paper. A mistake had to be fixed in the article by Lopez-Abad and Nguyen Van Th\'e quoted in appendix. Modifications were done accordingly