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Proceedings of the American Mathematical Society

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A metric on hyperspaces defined by Whitney maps


Author: Włodzimierz J. Charatonik
Journal: Proc. Amer. Math. Soc. 94 (1985), 535-538
MSC: Primary 54B20; Secondary 54E35, 54F15
MathSciNet review: 787908
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Abstract: For a given continuum $ X$ a new metric on the hyperspace $ {2^X}$ is defined, which is equivalent to the Hausdorff distance, but which has some other properties.


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

  • [1] Sam B. Nadler Jr., Hyperspaces of sets, Marcel Dekker, Inc., New York-Basel, 1978. A text with research questions; Monographs and Textbooks in Pure and Applied Mathematics, Vol. 49. MR 0500811
  • [2] L. E. Ward Jr., Extending Whitney maps, Pacific J. Math. 93 (1981), no. 2, 465–469. MR 623577

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0787908-4
Keywords: Hyperspace, continuum, Hausdorff distance, Whitney map
Article copyright: © Copyright 1985 American Mathematical Society