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Portugaliae Mathematica
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Volume 65, Issue 2, 2008, pp. 237–242
DOI: 10.4171/PM/1808
Published online: 2008-06-30
Steiner's invariants and minimal connections
Stephen Ducret[1] and Marc Troyanov[2] (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