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Published online: 2008-06-30
Steiner's invariants and minimal connectionsStephen Ducret and Marc Troyanov (1) Ecole Polytechnique Fédérale de Lausanne, Switzerland
(2) Ecole Polytechnique Fédérale de Lausanne, Switzerland
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: Metric geometry, Steiner invariant
Ducret Stephen, Troyanov Marc: Steiner's invariants and minimal connections. Port. Math. 65 (2008), 237-242. doi: 10.4171/PM/1808