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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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An uncountable collection of mutually incomparable chainable continua
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by Marwan M. Awartani
Proc. Amer. Math. Soc. 118 (1993), 239-245
DOI: https://doi.org/10.1090/S0002-9939-1993-1092914-3

Abstract:

We exhibit the existence of continuum many compactifications of the ray with the arc as remainder, no one of which maps onto any other. We also obtain continuum many pathwise connected circularly chainable continua no one of which maps onto any other. The involved constructions and proofs are combinatorial in nature.
References
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Bibliographic Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 239-245
  • MSC: Primary 54F15; Secondary 54D35
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1092914-3
  • MathSciNet review: 1092914