Title of article :
Dendritic generalized Peano continua
Author/Authors :
Fernلndez، نويسنده , , T. and Quintero، نويسنده , , A.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2006
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.
Keywords :
dendrite , Freudenthal end , Proper map , Tree
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications