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Abstract: We provide examples of non-locally compact geodesic Ptolemy metric spaceswhich are not uniquely geodesic. On the other hand, we show that locallycompact, geodesic Ptolemy metric spaces are uniquely geodesic. Moreover, weprove that a metric space is CAT(0) if and only if it is Busemann convex andPtolemy.



Autor: Thomas Foertsch, Alexander Lytchak, Viktor Schroeder

Fuente: https://arxiv.org/







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