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.
Recommended Citation
E. Wright and W. J. Charatonik, "Characterizations of Some Classes of Dendrites with a Closed Set of End Points," Spring Topology & Dynamics Conference 2007, Topology Atlas, Jan 2007.
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.
Publication Date
01 Jan 2007
