Möbius characterization of hemispheres (Q444107)

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scientific article; zbMATH DE number 6065340
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Möbius characterization of hemispheres
scientific article; zbMATH DE number 6065340

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    Möbius characterization of hemispheres (English)
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    13 August 2012
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    The main result of this paper is a Möbius characterization of metric spheres and hemispheres via Ptolemy metric spaces and segments. This paper is a continuation of the authors' work [ibid. 98, No. 6, 571--581 (2012; Zbl 1267.53078)] and generalizes a result by the authors given in [Manuscr. Math. 140, No. 3--4, 613--620 (2013; Zbl 1266.51017)] where the Möbius and the isometry classes of Ptolemy segments and Ptolemy circles are studied.
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    Ptolemy metric space
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    Möbius characterization
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    metric spheres
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    hemispheres
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