Dendrites with a Countable Set of End Points and Universality
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.
W. J. Charatonik et al., "Dendrites with a Countable Set of End Points and Universality," Houston Journal of Mathematics, University of Houston, Jan 2013.
Mathematics and Statistics
Keywords and Phrases
Dendrite; scattered set; minimal space; universal space; ramification degree
Article - Journal
© 2013 University of Houston, All rights reserved.
01 Jan 2013