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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A metric on hyperspaces defined by Whitney maps
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by Włodzimierz J. Charatonik
Proc. Amer. Math. Soc. 94 (1985), 535-538
DOI: https://doi.org/10.1090/S0002-9939-1985-0787908-4
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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
  • Sam B. Nadler Jr., Hyperspaces of sets, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 49, Marcel Dekker, Inc., New York-Basel, 1978. A text with research questions. MR 0500811
  • L. E. Ward Jr., Extending Whitney maps, Pacific J. Math. 93 (1981), no. 2, 465–469. MR 623577
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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 94 (1985), 535-538
  • MSC: Primary 54B20; Secondary 54E35, 54F15
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0787908-4
  • MathSciNet review: 787908