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• W2100329604 abstract "We develop the theory of a metric completion of an asymmetric metric space. We characterize the points on the boundary of Outer Space that are in the metric completion of Outer Space with the Lipschitz metric. We prove that the simplicial completion, the subset of the completion consisting of simplicial tree actions, is homeomorphic to the free splitting complex. We use this to give a new proof of a theorem by Francaviglia and Martino that the isometry group of Outer Space is homeomorphic to $text{Out}(F_n)$ for $n geq 3$ and equal to $text{PSL}(2,mathbb{Z})$ for $n=2$." @default.
• W2100329604 created "2016-06-24" @default.
• W2100329604 creator A5091736657 @default.
• W2100329604 date "2012-02-28" @default.
• W2100329604 modified "2023-09-27" @default.
• W2100329604 title "The Metric Completion of Outer Space" @default.
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