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- Title
An introduction to the Ribe program.
- Authors
Naor, Assaf
- Abstract
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.
- Subjects
GEOMETRIC rigidity; METRIC spaces; BANACH spaces; PROBABILITY theory; GROUP theory; EMBEDDINGS (Mathematics); INVARIANTS (Mathematics)
- Publication
Japanese Journal of Mathematics, 2012, Vol 7, Issue 2, p167
- ISSN
0289-2316
- Publication type
Article
- DOI
10.1007/s11537-012-1222-7