Inverse limits of upper semi-continuous functions, connectedness and the Cantor set

被引：3
|
作者：
Anaya, Jose G. [1 ]
Capulin, Felix [1 ]
Castaneda-Alvarado, Enrique [1 ]
Sanchez-Garrido, Monica [1 ]
机构：
[1] Univ Autonoma Estado Mexico, Fac Ciencias, Inst Literiario 100, Toluca 50000, Mexico
来源：
TOPOLOGY AND ITS APPLICATIONS | 2021年 / 303卷
关键词：
Inverse limit; Set-valued functions; Continuum; Contractive mappings; Cantor set;
D O I：
10.1016/j.topol.2021.107855
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study inverse limits with one upper semi-continuous function which is the union of mappings. Using the concept of Dom(F), we give sufficient conditions so that, the inverse limit is either a continuum or a Cantor set. (C) 2021 Elsevier B.V. All rights reserved.
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页数：11
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