Metric foundations of geometry. I
HTML articles powered by AMS MathViewer
- by Garrett Birkhoff PDF
- Trans. Amer. Math. Soc. 55 (1944), 465-492 Request permission
References
- Garrett Birkhoff, Lattice theory, American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1961. Revised ed. MR 0123490
- Garrett Birkhoff, Metric foundations of geometry, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 402–406. MR 4472, DOI 10.1073/pnas.27.8.402 L. Blumenthal Distance geometries, University of Missouri Press, 1938.
- Herbert Busemann, On Leibniz’s definition of planes, Amer. J. Math. 63 (1941), 101–111. MR 3707, DOI 10.2307/2371280
- Herbert Busemann, Metric Methods in Finsler Spaces and in the Foundations of Geometry, Annals of Mathematics Studies, No. 8, Princeton University Press, Princeton, N. J., 1942. MR 0007251 J. L. Coolidge The elements of non-Euclidean geometry, Oxford, 1909. T. L. Heath The thirteen books of Euclid’s elements, Cambridge University Press, 1908, 1926. D. Hilbert Grundlagen der Geometrie, 7th ed., Teubner, 1930. A. Kolmogoroff Zur topologisch-gruppentheoretischen Begrundung der Geometrie, Nachr. Ges. Wiss. Göttingen (1930) pp. 208-210.
- Karl Menger, Untersuchungen über allgemeine Metrik, Math. Ann. 100 (1928), no. 1, 75–163 (German). MR 1512479, DOI 10.1007/BF01448840
- Karl Menger, New foundations of projective and affine geometry, Ann. of Math. (2) 37 (1936), no. 2, 456–482. In collaboration with Franz Alt and Otto Schreiber. MR 1503293, DOI 10.2307/1968458
Additional Information
- © Copyright 1944 American Mathematical Society
- 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