Title

Characterizations of Some Classes of Dendrites with a Closed Set of End Points

Abstract

Let X be a dendrite with a closed set of end points. We show that the Cantor-Bendixson rank of the set of end points of X is greater than some ordinal alpha precisely when X contains a particular dendrite M(alpha). We also show that this rank cannot be increased when taking subdendrites or under certain classes of mappings.

Department(s)

Mathematics and Statistics

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 Topology Atlas, All rights reserved.

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