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- W4300576399 abstract "We provide examples of non-locally compact geodesic Ptolemy metric spaces which are not uniquely geodesic. On the other hand, we show that locally compact, geodesic Ptolemy metric spaces are uniquely geodesic. Moreover, we prove that a metric space is CAT(0) if and only if it is Busemann convex and Ptolemy." @default.
- W4300576399 created "2022-10-03" @default.
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- W4300576399 date "2007-05-08" @default.
- W4300576399 modified "2023-10-16" @default.
- W4300576399 title "Non-positive curvature and the Ptolemy inequality" @default.
- W4300576399 doi "https://doi.org/10.48550/arxiv.0705.1042" @default.
- W4300576399 hasPublicationYear "2007" @default.
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