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math.MG2006★ 14 cited
Weak metrics on Euclidean domains
Athanase Papadopoulos, Marc Troyanov
A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. In the present paper we introduced a weak metric, called t…
math.MG2006
Steiner's Invariants and Minimal Connections
Stephen Ducret, Marc Troyanov
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.