Article ID Journal Published Year Pages File Type
4661262 Topology and its Applications 2006 9 Pages PDF
Abstract

We show that infinite dendrites (= dendritic generalized Peano continua) are characterized as inverse limits of trees with proper bonding maps. As a consequence we derive that the proper homotopy type of an infinite dendrite is determined by its Freudenthal ends. We conclude this paper with a description of a universal space in the category of infinite dendrites and proper maps.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology