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Transactions of the American Mathematical Society

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Metric characterization of elliptic space


Author: Leonard M. Blumenthal
Journal: Trans. Amer. Math. Soc. 59 (1946), 381-400
MSC: Primary 48.0X
DOI: https://doi.org/10.1090/S0002-9947-1946-0016877-X
MathSciNet review: 0016877
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References [Enhancements On Off] (What's this?)

  • [1] L. M. Blumenthal, Concerning spherical spaces, Amer. J. Math. vol. 57 (1935) pp. 51-61. MR 1507054
  • [2] -, Metric foundations of hyperbolic geometry, Revista de Ciencias vol. 40 (1937) pp. 3-20.
  • [3] -, Distance geometries, University of Missouri Studies vol. 13 (1938).
  • [4] -, Some imbedding theorems and characterization problems of distance geometry, Bull. Amer. Math. Soc. vol. 49 (1943) pp. 321-338. MR 0008145 (4:251a)
  • [5] Karl Menger, Untersuchungen über allgemeine Metrik, Math. Ann. vol. 100 (1928) pp. 75-163. MR 1512479
  • [6] W. A. Wilson, A relation between metric and euclidean spaces, Amer. J. Math. vol. 54 (1932) pp. 505-517. MR 1506915

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DOI: https://doi.org/10.1090/S0002-9947-1946-0016877-X
Article copyright: © Copyright 1946 American Mathematical Society

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