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. 237–242DOI 10.4171/PM/1808