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Proceedings of the American Mathematical Society

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On a problem of S. Ulam


Author: Gilles Fournier
Journal: Proc. Amer. Math. Soc. 29 (1971), 622
MSC: Primary 54.35
MathSciNet review: 0278262
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Abstract: Giving a negative answer to a problem of S. Ulam, the author provides an example of two noncomplete subspaces of R which are not isometric but whose squares are isometric.


References [Enhancements On Off] (What's this?)

  • [1] S. M. Ulam, A collection of mathematical problems, Interscience Tracts in Pure and Applied Mathematics, no. 8, Interscience Publishers, New York-London, 1960. MR 0120127

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0278262-5
Keywords: Metric space, isometry, product of metric spaces
Article copyright: © Copyright 1971 American Mathematical Society