Isometric approximation property of unbounded sets
泛函分析
2007-05-23 v1
摘要
Necessary and sufficient quantitative geometric conditions are given for an unbounded set A in a euclidean space R^n to have the following property with a given c > 0: For every s > 0 and for every s-nearisometry f: A -> R^n there is an isometry T: A -> R^n such that |Tx - fx| \le cs for all x in A.
引用
@article{arxiv.math/0201023,
title = {Isometric approximation property of unbounded sets},
author = {Jussi Vaisala},
journal= {arXiv preprint arXiv:math/0201023},
year = {2007}
}
备注
15 pages