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- W4386908198 abstract "We show that a complete connected locally compact median space of finite rank which admits a transitive action is isometric to $mathbb{R}^n$ endowed with the $ell^1$-metric. In parallel, we give a characterization of the compactness in complete median spaces of finite rank by the combinatorics of their halfspaces. Under a mild assumptions on the isometry group, we show also that all the orbits of a complete connected median space of finite rank are discrete." @default.
- W4386908198 created "2023-09-21" @default.
- W4386908198 creator A5092912398 @default.
- W4386908198 date "2023-09-19" @default.
- W4386908198 modified "2023-10-16" @default.
- W4386908198 title "Isometric actions on locally compact finite rank median spaces" @default.
- W4386908198 doi "https://doi.org/10.48550/arxiv.2309.10760" @default.
- W4386908198 hasPublicationYear "2023" @default.
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