Dendrites with a Countable Set of End Points and Universality

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow
Evan Wright
Sophia Zafiridou

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.

Recommended Citation

W. J. Charatonik et al., "Dendrites with a Countable Set of End Points and Universality," Houston Journal of Mathematics, University of Houston, Jan 2013.

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.

Publication Date

01 Jan 2013