Dendrites with a closed set of end points

Abstract

Dendrites with a closed set of end points are investigated. It is shown that such dendrites are precisely those that do not contain two particular ones. A universal dendrite with a closed set of end points is constructed (also with ramification points of a given order). Open and monotone images of the considered dendrites are studied. © 2001 Elsevier Science B.V. All rights reserved.