Abstract
We prove that the Steiner ratios for complete locally compact length spaces having $n$ ends are less than or equal to $n/2(n-1)$. In particular, the Steiner ratio of a complete simply connected surface with a pole satisfying the Visibility axiom is $1/2$.
Citation
Nobuhiro Innami. Shinetsu Tamura. "Steiner ratios for length spaces having ends." Nihonkai Math. J. 19 (2) 105 - 110, 2008.
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