JournalspmVol. 65, No. 2pp. 237–242

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.

Cite this article

Stephen Ducret, Marc Troyanov, Steiner's invariants and minimal connections. Port. Math. 65 (2008), no. 2, pp. 237–242

DOI 10.4171/PM/1808