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

Evan Wright; W. J. Charatonik

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

Evan Wright
, W. J. Charatonik

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Spring Topology & Dynamics Conference 2007
State	Published - Jan 1 2007

Disciplines

Mathematics
Statistics and Probability

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Cite this

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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.",

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N2 - 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.

AB - 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.

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M3 - Article

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JF - Spring Topology & Dynamics Conference 2007

ER -

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

Abstract

Disciplines

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