Dendrites with a countable closure of the set of end points (Q958517)

A dendrite is a locally connected continuum containing no simple closed curve. In this paper the author investigates the problem of existence of universal elements in some families of dendrites with a countable closure of the set of end points. In particular, it is proved that for each integer \(k\geq 3\) and for each ordinal \(\alpha\geq 1\) there exists a universal element in the family of all dendrites \(X\) such that ord\((X)\leq k\) and the \(\alpha\)-derivative of the set cl\(_{X}E(X)\) contains at most one point.