Metric dimension reduction:A snapshot of the Ribe program-Assaf Naor (USA)-——ICM2018的一小时报告
Metric dimension reduction: A snapshot of the Ribe program - Assaf Naor (USA)
发文时间：2018-09-28
来源：304am永利集团
Abstract: The purpose of this article is to survey some of the context, achievements, challenges and mysteries of the field of metric dimension reduction, including new perspectives on major older results as well as recent advances.
https://eta.impa.br/dl/PL004.pdf
https://arxiv.org/abs/1809.02376
本文讨论度量维数约化中的两个主题：到R^n中的双Lipschitz嵌入问题和Ribe计划，后者起源于Banach空间中的Ribe刚性定理。作者具体研究了Hilbert空间中的有限和无限子集的度量维数约化问题。最后，作者证明了关于谱间隙排除低维嵌入的一个定理。
相关附件
16-PL004 Naor
