Geodesic
On the Steiner Problem
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 431-450

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Let M be a metric space with metric ρ which has the following properties.1. M is finitely compact.2. There exists a geodesic in M joining each two points of M.3. For all a, b∈M, ρ(a, b) is equal to the length of a geodesic joining a and b. 
Cockayne, E. J. On the Steiner Problem. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 431-450. doi: 10.4153/CMB-1967-041-8
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     author = {Cockayne, E. J.},
     title = {On the {Steiner} {Problem}},
     journal = {Canadian mathematical bulletin},
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     year = {1967},
     volume = {10},
     number = {3},
     doi = {10.4153/CMB-1967-041-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-041-8/}
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