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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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$\epsilon$-selections
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by Sam B. Nadler
Proc. Amer. Math. Soc. 114 (1992), 287-293
DOI: https://doi.org/10.1090/S0002-9939-1992-1074756-7

Abstract:

Some complete and some partial characterizations of continua are obtained in terms of the existence of an $\varepsilon$-selection on one or another of their hyperspaces for each $\varepsilon > 0$.
References
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Bibliographic Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 287-293
  • MSC: Primary 54B20; Secondary 54C65, 54F15
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1074756-7
  • MathSciNet review: 1074756