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Transactions of the American Mathematical Society

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Metric foundations of geometry. I


Author: Garrett Birkhoff
Journal: Trans. Amer. Math. Soc. 55 (1944), 465-492
MSC: Primary 48.0X
DOI: https://doi.org/10.1090/S0002-9947-1944-0010393-5
MathSciNet review: 0010393
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  • [1] L. Blumenthal Distance geometries, University of Missouri Press, 1938.
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  • [2] -Metric methods in Finsler spaces and in the foundations of geometry, Annals of Mathematics Studies, no. 8, Princeton, 1942, with bibliography. MR 0007251 (4:109e)
  • [1] J. L. Coolidge The elements of non-Euclidean geometry, Oxford, 1909.
  • [1] T. L. Heath The thirteen books of Euclid's elements, Cambridge University Press, 1908, 1926.
  • [1] D. Hilbert Grundlagen der Geometrie, 7th ed., Teubner, 1930.
  • [1] A. Kolmogoroff Zur topologisch-gruppentheoretischen Begrundung der Geometrie, Nachr. Ges. Wiss. Göttingen (1930) pp. 208-210.
  • [1] K. Menger Untersuchungen über allgemeine Metrik, Math. Ann. vol. 100 (1928) pp. 73-163. MR 1512479
  • [2] -New foundations of projective and affine geometry, Ann. of Math. (2) vol. 37 (1936) pp. 456-482. MR 1503293

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DOI: https://doi.org/10.1090/S0002-9947-1944-0010393-5
Article copyright: © Copyright 1944 American Mathematical Society

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