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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Semiconfluent maps and continua containing no $n$-ods
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by Eldon J. Vought PDF
Proc. Amer. Math. Soc. 104 (1988), 1311-1314 Request permission

Abstract:

J. F. Davis proved that the semiconfluent image of an atriodic continuum is atriodic and asked if this result could be generalized to $n$-ods. In this paper the question is answered in the affirmative. It is proved that the semiconfluent image of a Hausdorff continuum containing no $n$-ods must contain no $n$-ods
References
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 1311-1314
  • MSC: Primary 54F20; Secondary 54C10, 54F50
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0929435-X
  • MathSciNet review: 929435