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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On graphs with a metric end space


Author: Kerstin Waas
Journal: Trans. Amer. Math. Soc. 351 (1999), 1043-1062
MSC (1991): Primary 05C10
MathSciNet review: 1487635
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Abstract: R. Diestel conjectured that an infinite graph contains a topologically end-faithful forest if and only if its end space is metrizable. We prove this conjecture for uniform end spaces.


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Additional Information

Kerstin Waas
Affiliation: Fakultät für Mathematik, TU Chemnitz D-09107 Chemnitz, Germany

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02255-2
PII: S 0002-9947(99)02255-2
Keywords: Infinite graph, topological end space, uniformly end-faithful, topologically end-faithful
Received by editor(s): January 20, 1997
Additional Notes: Supported by Deutsche Forschungsgemeinschaft
Article copyright: © Copyright 1999 American Mathematical Society