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Two versions of the Jung theorem in metric spaces of curvature bounded above

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References

  1. A. D. Alexandrov, A theorem on triangles in a metric space and some of its applications. Trudy Mat. Inst. Steklov38, 5–23 (1951), (Russian).

    Google Scholar 

  2. A. D. Alexandrov, über eine Verallgemeinerung der Riemannschen Geometrie. Schriftenreihe Forschungsinst. Math. der Deutsch. Acad. Wiss. I, Berlin 33–84 (1957).

    Google Scholar 

  3. V. N.Berestovskij and I. G.Nikolaev, Multidimensional generalized Riemannian spaces. Encyclopedia Math. Sci., Geom. IV,70, New York-Berlin-Heidelberg 1989.

  4. Yu. Burago, M. Gromov andG. Perel'man, Alexandrov spaces with curvature bounded below. Russian Math. Surveys47, No. 2, 1–58 (1992).

    Google Scholar 

  5. L. Danzer, B. Grünbaum andV. Klee, Helly's Theorem and its relatives. Proc. Sympos. Pure Math. Vol. VII, Convexity, AMS, Providence, R. I. (1963).

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  6. B. V.Dekster, The Jung Theorem in metric spaces of curvature bounded above. To appear in Proc. Amer. Math. Soc.

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Supported by a Canadian NSERC Grant.

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Dekster, B.V., Dekster, M. Two versions of the Jung theorem in metric spaces of curvature bounded above. Arch. Math 66, 502–510 (1996). https://doi.org/10.1007/BF01268870

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  • DOI: https://doi.org/10.1007/BF01268870

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