Finite graphs that are inverse limits with a set valued function on [0,1]

被引：17
|
作者：
Nall, Van [1 ]
机构：
[1] Univ Richmond, Dept Math & Comp Sci, Richmond, VA 23173 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 10期
关键词：
Inverse limits; Set-valued functions;
D O I：
10.1016/j.topol.2011.04.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a finite graph that is the inverse limit with a single surjective upper semi-continuous set valued function f : [0, 1] -> 2([0,1]) is either an arc or a simple triod. It is not known if there is such a simple triod. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：1226 / 1233
页数：8
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