The ω-limit function on dendrites

被引：2

作者：

Camargo, Javier ^{[1
]}

Cancino, Johan ^{[1
]}

机构：

[1] Univ Ind Santander, Fac Ciencias, Escuela Matemat, Ciudad Univ,Carrera 27 Calle 9, Santander 678, Colombia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 282卷

关键词：

Compactum; Continuum; Dynamics; Dendrites; omega-Limit function; Equicontinuous function; Periodic points; EQUICONTINUITY;

D O I：

10.1016/j.topol.2020.107320

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a compact metric space X and a continuous function f : X -> X, we define the omega-limit function omega f: X -> 2X by omega f (x) = omega(x, f) for each x is an element of X. We study the continuity of omega f when f is defined on a dendrite. Furthermore, we show some relationships between the connectedness of the set of periodic points and the equicontinuity of the function. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

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