References
Blumenthal, L. M.: Theory and Applications of Distance Geometry, Oxford Univ. Press, 1953.
Dugundgi, J.: Topology, Allyn and Bacon, Boston, 1966.
von Neumann, J. and Schoenberg, I. J.: ‘Fourier Integrals and Metric Geometry’, Trans. Amer. Math. Soc. 50 (1941), 226–251.
Sommerville, D. M. Y.: The Elements of Non-Euclidean Geometry, Dover Publications, New York, 1958.
Spivak, M.: Differential Geometry, Publish or Perish Inc., Berkeley, 1970.
Tingley, D.: ‘Metric Transformations of the Real Line’ Rocky Mountain J. of Math (to appear).
Wilson, W. A.: ‘On Certain Types of Continuous Transformations of Metric Spaces’, Amer. J. Math. 57 (1935), 62–68.
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Tingley, D. Metric transformations of ℝ into H n . Geom Dedicata 16, 63–71 (1984). https://doi.org/10.1007/BF00147421
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DOI: https://doi.org/10.1007/BF00147421