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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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On a characterization of trees
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by Witold D. Bula and E. D. Tymchatyn PDF
Proc. Amer. Math. Soc. 108 (1990), 1107-1108 Request permission

Abstract:

We prove that a continuum $X$ is a tree if and only if for each pair $K \subset L$ of its nondegenerate subcontinua some subcontinuum of $K$ separates $L$.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 108 (1990), 1107-1108
  • MSC: Primary 54F20; Secondary 54F50, 54F65
  • DOI: https://doi.org/10.1090/S0002-9939-1990-0993744-8
  • MathSciNet review: 993744