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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Another characterization of trees


Author: L. E. Ward
Journal: Proc. Amer. Math. Soc. 112 (1991), 231-233
MSC: Primary 54F15; Secondary 54F50, 54F65
MathSciNet review: 1039538
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Abstract: It is proved that a continuum is a tree if and only if each two connected subsets meet in a connected set.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1039538-X
PII: S 0002-9939(1991)1039538-X
Keywords: Tree, tree-like, dendrite, connected intersection property, cutpoint, non-cutpoint, composant, hereditarily decomposable
Article copyright: © Copyright 1991 American Mathematical Society