Title

Dendrites with a Countable Set of End Points and Universality

Editor(s)

Kaiser, Klaus

Abstract

We introduce a notion of ramification degree for dendrites and we use it to show that in the family of all dendrites with a countable set of end points, there is no universal element. Moreover, we characterize a dendrite with a countable set of end points using this ramification degree. Finally, we investigate the problem of existence of minimal dendrite in some families of dendrites with a countable set of end points.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Dendrite; scattered set; minimal space; universal space; ramification degree

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 University of Houston, All rights reserved.

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