Indecomposability in inverse limits with set-valued functions

被引：9

作者：

Kelly, James P. ^{[1
]}

Meddaugh, Jonathan ^{[1
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 13期

关键词：

Inverse limits; Upper semi-continuous functions; Indecomposability; Full projection property; SEMICONTINUOUS BONDING FUNCTIONS;

D O I：

10.1016/j.topol.2013.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a sufficient condition for the inverse limit of upper semi-continuous functions to be an indecomposable continuum. This condition generalizes and extends those of Ingram and Varagona. Additionally, we demonstrate a method of constructing upper semi-continuous functions whose inverse limit has the full projection property. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1720 / 1731

页数：12

共 9 条

[1]

Ingram WT, 2010, TOPOL P, V36, P353

[2]

Ingram WT, 2009, TOPOL P, V34, P17

[3]

Ingram W.T., 2012, Springer Briefs in Mathematics

[4]

Ingram WT, 2006, HOUSTON J MATH, V32, P119

[5] Inverse limits with subsets of [0,1]x[0,1] [J].

Mahavier, WS .

TOPOLOGY AND ITS APPLICATIONS, 2004, 141 (1-3) :225-231

[6]

Nadler S.B., 1992, Continuum Theory. An Introduction, V158

[7]

Nall V., 2012, TOPOL P, V40, P167

[8]

Nall V, 2011, HOUSTON J MATH, V37, P1323

[9]

Varagona S, 2011, HOUSTON J MATH, V37, P1017

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