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Classification of Finite Metric Spaces and Combinatorics of Convex Polytopes

Classification of Finite Metric Spaces and Combinatorics of Convex Polytopes We describe the canonical correspondence between finite metric spaces and symmetric convex polytopes, and formulate the problem about classification of the metric spaces in terms of combinatorial structure of those polytopes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Arnold Mathematical Journal Springer Journals

Classification of Finite Metric Spaces and Combinatorics of Convex Polytopes

Vershik, A.
Arnold Mathematical Journal , Volume 1 (1) – Jan 20, 2015
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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Institute for Mathematical Sciences (IMS), Stony Brook University, NY
Subject
Mathematics; Mathematics, general; Algebraic Geometry; Mathematical Physics; Analysis; Dynamical Systems and Ergodic Theory; Combinatorics
ISSN
2199-6792
eISSN
2199-6806
DOI
10.1007/s40598-014-0005-z
Publisher site
See Article on Publisher Site

Abstract

We describe the canonical correspondence between finite metric spaces and symmetric convex polytopes, and formulate the problem about classification of the metric spaces in terms of combinatorial structure of those polytopes.

Journal

Arnold Mathematical Journal – Springer Journals

Published: Jan 20, 2015

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