English

Steiner's Invariants and Minimal Connections

Metric Geometry 2008-04-22 v1

Abstract

The aim of this note is to prove that any compact metric space can be made connected at a minimal cost, where the cost is taken to be the one-dimensional Hausdorff measure.

Keywords

Cite

@article{arxiv.math/0609235,
  title  = {Steiner's Invariants and Minimal Connections},
  author = {Stephen Ducret and Marc Troyanov},
  journal= {arXiv preprint arXiv:math/0609235},
  year   = {2008}
}
R2 v1 2026-07-22T17:42:09.223Z