Induced mappings on symmetric products of continua

被引：4
|
作者：
Anaya, Jose G. [1 ]
Capulin, Felix [1 ]
Maya, David [1 ]
Orozco-Zitli, Fernando [1 ]
机构：
[1] Univ Autonoma Estado Mexico, Fac Ciencias, Inst Literario 100, Col Ctr, Toluca 50000, Estado De Mexic, Mexico
来源：
TOPOLOGY AND ITS APPLICATIONS | 2016年 / 214卷
关键词：
Continuum; Symmetric product; Induced mapping; INDUCED MAPS;
D O I：
10.1016/j.topol.2016.09.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a continuum X and a positive integer n, let F-n(X) be the hyperspace of all nonempty subsets of X having at most n points. Given a mapping f : X -> Y between continua, we study the induced mapping f(n) : F-n(X) -> F-n(Y) given by f(n)(A) = f (A) (the image of A under f). In this paper, we prove some relationships among the mappings f and f(n) for the following classes of mappings: almost open, almost monotone, atriodic, feebly monotone, local homeomorphism, locally confluent, locally weakly confluent, strongly monotone and weakly semi confluent. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：100 / 108
页数：9
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