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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Continua as positive Whitney levels
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by Włodzimierz J. Charatonik
Proc. Amer. Math. Soc. 118 (1993), 1351-1352
DOI: https://doi.org/10.1090/S0002-9939-1993-1160293-9
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Abstract:

It is shown that every continuum is a positive Whitney level of some continuum.
References
  • R. D. Anderson, Atomic decompositions of continua, Duke Math. J. 23 (1956), 507–514. MR 82668
  • 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 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 1351-1352
  • MSC: Primary 54F15; Secondary 54B20
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1160293-9
  • MathSciNet review: 1160293