Metric dimension reduction: A snapshot of the Ribe program

TL;DR

This paper surveys the field of metric dimension reduction, discussing its history, recent advances, challenges, and open questions, providing new perspectives on foundational results and current research directions.

Contribution

It offers a comprehensive overview of metric dimension reduction, highlighting recent developments and unresolved problems in the field.

Findings

Summarizes key achievements in metric dimension reduction.

Identifies ongoing challenges and open questions.

Provides new insights into classical and recent results.

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.