JournalspmVol. 65 / No. 2DOI 10.4171/pm/1808

Steiner's invariants and minimal connections

  • Stephen Ducret

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
  • Marc Troyanov

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
Steiner's invariants and minimal connections cover

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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.