Metric characterization of elliptic space
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- by Leonard M. Blumenthal
- Trans. Amer. Math. Soc. 59 (1946), 381-400
- DOI: https://doi.org/10.1090/S0002-9947-1946-0016877-X
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References
- Leonard M. Blumenthal, Concerning Spherical Spaces, Amer. J. Math. 57 (1935), no. 1, 51–61. MR 1507054, DOI 10.2307/2372018 —, Metric foundations of hyperbolic geometry, Revista de Ciencias vol. 40 (1937) pp. 3-20. —, Distance geometries, University of Missouri Studies vol. 13 (1938).
- L. M. Blumenthal, Some imbedding theorems and characterization problems of distance geometry, Bull. Amer. Math. Soc. 49 (1943), 321–338. MR 8145, DOI 10.1090/S0002-9904-1943-07890-1
- Karl Menger, Untersuchungen über allgemeine Metrik, Math. Ann. 100 (1928), no. 1, 75–163 (German). MR 1512479, DOI 10.1007/BF01448840
- W. A. Wilson, A Relation Between Metric and Euclidean Spaces, Amer. J. Math. 54 (1932), no. 3, 505–517. MR 1506915, DOI 10.2307/2370894
Bibliographic Information
- © Copyright 1946 American Mathematical Society
- 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