Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661262 | Topology and its Applications | 2006 | 9 Pages |
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.
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Mathematics
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