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Mathematics > Metric Geometry

Title: Strings in metric spaces

Authors: Vladimir Turaev
(Submitted on 16 Apr 2024)
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.
Comments: 7 pages, no figures
Subjects: Metric Geometry (math.MG); Algebraic Topology (math.AT)
Cite as: arXiv:2404.10668 [math.MG]
  (or arXiv:2404.10668v1 [math.MG] for this version)

Submission history

From: Vladimir Turaev [view email]
[v1] Tue, 16 Apr 2024 15:44:25 GMT (9kb)
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