Steiner's Invariants and Minimal Connections
Stephen Ducret, Marc Troyanov
math.MGarXiv:math/0609235
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.
Create a lesson
Related papers
The Spherical Hadwiger Theorem
Suijie Wang, Shengguo Wu
Linear isoperimetric filling inequalities in Hadamard spaces at and above the asymptotic rank
Jonas W. Peteranderl
Isometry invariant valuations on spherical polytopes
Jonas Knoerr
The Kernel Deficit Dominates Twice the Hull Deficit: A Sharp Strengthening of Nakano's Inequality
Dakota Charles Baker
In Search of Melchior's Ordinary Points
Jonathan Lenchner, Rik Sengupta
Volume and Projection Inequalities II: Determinants and Lp-Sums
Matthieu Fradelizi, Auttawich Manui, Cheikh Saliou Ndiaye et al.