On a characterization of trees
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- by Witold D. Bula and E. D. Tymchatyn
- Proc. Amer. Math. Soc. 108 (1990), 1107-1108
- DOI: https://doi.org/10.1090/S0002-9939-1990-0993744-8
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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
- L. E. Ward Jr., A new characterization of trees, Proc. Amer. Math. Soc. 104 (1988), no. 4, 1252–1255. MR 969056, DOI 10.1090/S0002-9939-1988-0969056-6
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
Bibliographic 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