Dendritic generalized Peano continua

被引：2
作者：
Fernandez, T.
Quintero, A.
机构：
[1] Junta Andalucia, Consejeria Educ, Serv Informat, Seville 41071, Spain
[2] Univ Sevilla, Fac Matemat, Dept Geometria & Topol, E-41080 Seville, Spain
来源：
TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 14期
关键词：
dendrite; tree; Freudenthal end; proper map;
D O I：
10.1016/j.topol.2005.10.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2005 Elsevier B.V. All rights reserved.
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页码：2551 / 2559
页数：9
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