Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660795 | Topology and its Applications | 2008 | 8 Pages |
Abstract
We investigate the problem of existence of universal elements in some families of dendrites with a countable closure of the set of end points. In particular, we prove that for each integer κ⩾3 and for each ordinal α⩾1 there exists a universal element in the family of all dendrites X such that ord(X)⩽κ and the α-derivative of the set clXE(X) contains at most one point.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology