On metric independence and linear independence
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- by L. M. Blumenthal and V. L. Klee
- Proc. Amer. Math. Soc. 6 (1955), 732-734
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072459-6
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References
- Stefan Banach, Théorie des operations linéaires, Warsaw, 1932.
- Leonard M. Blumenthal, Theory and applications of distance geometry, Oxford, at the Clarendon Press, 1953. MR 0054981
- C. H. Dowker, An imbedding theorem for paracompact metric spaces, Duke Math. J. 14 (1947), 639–645. MR 22344 C. Kuratowski, Quelques problemes concernant les espaces métriques non-separables, Fund. Math. vol. 25 (1935) pp. 534-545.
- I. J. Schoenberg, On certain metric spaces arising from Euclidean spaces by a change of metric and their imbedding in Hilbert space, Ann. of Math. (2) 38 (1937), no. 4, 787–793. MR 1503370, DOI 10.2307/1968835
- A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977–982. MR 26802, DOI 10.1090/S0002-9904-1948-09118-2
Bibliographic Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 732-734
- MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072459-6
- MathSciNet review: 0072459