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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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An uncountable collection of chainable continua
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by David P. Bellamy PDF
Trans. Amer. Math. Soc. 160 (1971), 297-304 Request permission

Abstract:

We demonstrate the existence of an uncountable collection of chainable continua, no member of which can be mapped onto any other member. Path connectedness considerations and techniques involving compactifications play an important role in the construction and argument.
References
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  • Z. Waraszkiewicz, Une famille indenombrable de continus plans dont aucun n’est l’image continue d’un autre, Fund. Math. 18 (1932), 118-137.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 160 (1971), 297-304
  • MSC: Primary 54.55
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0286076-X
  • MathSciNet review: 0286076