DYNAMIC PROPERTIES FOR THE INDUCED MAPS ON n-FOLD SYMMETRIC PRODUCT SUSPENSIONS

被引：0

作者：

Barragan, Franco ^{[1
]}

Santiago-Santos, Alicia ^{[1
]}

Tenorio, Jesus F. ^{[1
]}

机构：

[1] Univ Tecnol Mixteca, Inst Fis & Matemat, Carretera Acatlima,Km 2-5, Huajuapan De Leon 69000, Oaxaca, Mexico

来源：

GLASNIK MATEMATICKI | 2016年 / 51卷 / 02期

关键词：

Chaotic map; exact map; feebly open map; hyperspace; induced map; irreducible map; minimal map; mixing map; strongly transitive map; symmetric product; symmetric product suspension; totally transitive map; transitive map; turbulent map; weakly mixing map; TRANSITIVITY; CHAOS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a continuum. For any positive integer n we consider the hyperspace.F-n(X) and if n is greater than or equal to two, we consider the quotient space SFn (X) defined in [3]. For a given map f : X -> X, we consider the induced maps F-n (f) : F-n (X) -> F-n(X) and SFn (f) : SFn (X) -> SFn (X) defined in [4]. Let M be one of the following classes of maps: exact, mixing, weakly mixing, transitive, totally transitive, strongly transitive, chaotic, minimal, irreducible, feebly open and turbulent. In this paper we study the relationships between the following statements: f is an element of M, F-n(f) is an element of M and SFn(f) is an element of M.

引用

页码：453 / 474

页数：22

共 49 条

[1] Dynamic properties for the induced maps on n-fold symmetric product suspensions II
Barragan, Franco
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TOPOLOGY AND ITS APPLICATIONS, 2021, 288
[2] Induced maps on n-fold symmetric product suspensions
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[3] MORE ON INDUCED MAPS ON n-FOLD SYMMETRIC PRODUCT SUSPENSIONS
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[10] FINITE GRAPHS HAVE UNIQUE ???????n-FOLD SYMMETRIC PRODUCT SUSPENSION
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