Trees and generalised inverse limits on intervals

被引：0

作者：

Greenwood, Sina ^{[1
]}

Windelborn, Bradley ^{[1
]}

机构：

[1] Univ Auckland, Private Bag 92019, Auckland, New Zealand

来源：

TOPOLOGY AND ITS APPLICATIONS | 2018年 / 249卷

关键词：

Generalized inverse limit; Upper semicontinuous function; Tree; SET-VALUED FUNCTIONS; MAPS;

D O I：

10.1016/j.topol.2018.09.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider inverse limits of sequences of upper semicontinuous set-valued functions f(i+1) : Ii+1 -> 2(Ii) (where I-i = [0, 1] for each i is an element of N), for which the graph of each bonding function is an arc. We show that any finite tree can be obtained as such an inverse limit, and one for which each bonding function is one of two specified functions. In addition, we discuss trees of height omega + 1 that can be obtained as the inverse limit of such a sequence. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：160 / 176

页数：17

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