Article ID Journal Published Year Pages File Type
4660795 Topology and its Applications 2008 8 Pages PDF
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