We survey problems, results, ideas, and recent progress in the Ribe program. The goal of this research program, which is motivated by a classical rigidity theorem of Martin Ribe, is to obtain structural results for metric spaces that are inspired by the local theory of Banach spaces. We also present examples of applications of the Ribe program to several areas, including group theory, theoretical computer science, and probability theory.

中文翻译：

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Ribe程序简介

我们调查了Ribe计划中的问题，结果，想法和最新进展。该研究计划的目标是受到马丁·里伯（Martin Ribe）的经典刚度定理的启发，目的是获得受Banach空间局部理论启发的度量空间的结构结果。我们还提供了Ribe程序在多个领域的应用示例，包括群体理论，计算机理论和概率论。