On the topological entropy of continuous and almost continuous functions

被引：14
|
作者：
Pawlak, Ryszard J. [1 ]
Loranty, Anna [1 ]
Bakowska, Anna [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 15期
关键词：
Almost continuity; f-Bundle; Multivalued function; Entropy point; Approximation; Manifold; CONTINUOUS-SELECTIONS; SET; CONTRACTIONS; CONVERGENCE; POROSITY; MAPPINGS;
D O I：
10.1016/j.topol.2011.06.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove some results concerning the entropy of continuous and almost continuous functions. We first introduce the notions of bundle entropy and (strong) entropy points and then we study properties of these notions in connection with the theory of multifunctions. Based on these facts we give theorems about approximation of functions defined and assuming their values on compact manifold by functions having strong entropy points. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：2022 / 2033
页数：12
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