Dynamics of induced mappings on symmetric products, some answers

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.17492

A. Illanes, V. Martínez-de-la-Vega

引用次数: 0

Abstract

Let X be a metric continuum and n a positive integer. Let Fn (X) be the hyperspace of nonempty subsets of X with at most n points. If 0 < m < n, we consider the quotient space Fnm (X) = Fn (X)/Fm (X). Given a mapping f from X into X, we consider the induced mappings fn from Fn (X) into Fn (X) and fnm from Fnm (X) into Fnm (X). In this paper we study the relations among the dynamics of the mappings f, fn, and fnm and we answer some questions, by F. Barragán, A. Santiago-Santos and J. Tenorio, related to the properties: minimality, irreducibility, strong transitive and turbulence.

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对称积上诱导映射的动力学，若干答案

设X是度规连续统n是正整数。设Fn (X)是X的非空子集的超空间，它最多有n个点。如果0 < m < n,我们考虑到危机的商空间(X) = Fn (X) / Fm (X)给定一个映射f从X到X,我们认为诱导映射Fn Fn (X)为Fn (X)和危机的危机(X)等(X)在本文中,我们研究之间的关系的动态映射f, Fn,等于是我们回答一些问题,通过f·巴拉,a . Santiago-Santos和j . Tenorio相关属性:极小性,不可约性,强大的传递和动荡。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.