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Ptolemaic spaces

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Abstract

We show that equilateral pseudolinear quadruples are in a certain sense extremally non-Ptolemaic metric spaces. We find four-point pseudometric spaces that are maximally Ptolemaic.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Donetsk, Ukraine

    A. A. Dovgosheĭ & E. A. Petrov

Authors
  1. A. A. Dovgosheĭ
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  2. E. A. Petrov
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Original Russian Text Copyright © 2011 Dovgosheĭ A. A. and Petrov E. A.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 2, pp. 283–291, March–April, 2011.

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Dovgosheĭ, A.A., Petrov, E.A. Ptolemaic spaces. Sib Math J 52, 222–229 (2011). https://doi.org/10.1134/S0037446611020042

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  • DOI: https://doi.org/10.1134/S0037446611020042

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