Characterizations of Some Classes of Dendrites with a Closed Set of End Points
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.
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.
Mathematics and Statistics
Article - Conference proceedings
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01 Jan 2007