English

Strings in metric spaces

Metric Geometry 2024-04-17 v1 Algebraic Topology

Abstract

We introduce strings in metric spaces and define string complexes of metric spaces. We describe the class of 2-dimensional topological spaces which arise in this way from finite metric spaces.

Keywords

Cite

@article{arxiv.2404.10668,
  title  = {Strings in metric spaces},
  author = {Vladimir Turaev},
  journal= {arXiv preprint arXiv:2404.10668},
  year   = {2024}
}

Comments

7 pages, no figures

R2 v1 2026-06-28T15:56:00.629Z