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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Local metric geometry
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by Herbert Busemann PDF
Trans. Amer. Math. Soc. 56 (1944), 200-274 Request permission
References
  • 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
  • W. Blaschke Vorlesungen über Differentialgeometrie. II, Berlin, 1923.
  • 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
  • Herbert Busemann, On spaces in which two points determine a geodesic, Trans. Amer. Math. Soc. 54 (1943), 171–184. MR 9860, DOI 10.1090/S0002-9947-1943-0009860-9
  • E. Cartan Leçons sur la géométrie des espaces de Riemann, Paris, 1928. M. De Tilly Études de mécanique abstraite, Mémoires couronnés et autre, Mémoires de l’Académie Royale de Belgique vol. 21 (1870). —Essai sur les principes fondamenteaux de la géométrie et de la mécanique, Mémoires de la Société des Sciences de Bordeaux (3) vol. 1 (1878). F. Enriques Prinzipien der Geometrie, Encyklopädie der mathematischen wissenschaften vol. III (1907), pp. 1-129. J. Hadamard Les surfaces a courbures opposées, J. Math. Pures Appl. (5) vol. 4 (1898) pp. 27-73. F. Hausdorff Mengenlehre, 2nd ed., Berlin, 1927.
  • Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
  • Solomon Lefschetz, Algebraic Topology, American Mathematical Society Colloquium Publications, Vol. 27, American Mathematical Society, New York, 1942. MR 0007093, DOI 10.1090/coll/027
  • H. Liebmann Nichteuklidische Geometrie, 3rd ed., Berlin, 1923. K. Menger Metrische Geometrie und Variationsrechnung, Fund. Math. vol. 25 (1935) pp. 441-458. —Die Metrische Methode in der Variationsrechnung, Ergebnisse eines mathematischen Kolloquiums vol. 8 (1937) pp. 1-32.
  • Karl Menger, Untersuchungen über allgemeine Metrik, Math. Ann. 100 (1928), no. 1, 75–163 (German). MR 1512479, DOI 10.1007/BF01448840
  • H. Minkowski Geometrie der Zahlen, Leipzig, 1910. L. Pontrjagin Topological groups, Princeton Mathematical Series, vol. 2, 1939. H. Seifert and W. Threlfall Lehrbuch der Topologie, Leipzig, 1934. H. Weyl Mathematische Analyse des Raumproblems, Berlin, 1923. M. Zacharias Elementargeometrie und elementare nicht-euklidische Geometrie in synthetischer Behandlung, Encyklopädie der mathematischen Wissenschaften vol. I.
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Additional Information
  • © Copyright 1944 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 56 (1944), 200-274
  • MSC: Primary 48.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1944-0010976-2
  • MathSciNet review: 0010976