ON THE ENTROPY OF DARBOUX FUNCTIONS

被引：16

作者：

Pawlak, Ryszard J. ^{[1
,2
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

[2] Coll Comp Sci, PL-93008 Lodz, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2009年 / 116卷 / 02期

关键词：

topological entropy; Darboux function; almost fixed point; almost continuity; periodic point; m-horseshoe; turbulent function; T-approximation;

D O I：

10.4064/cm116-2-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some results concerning the entropy of Darboux (and almost continuous) functions. We first generalize some theorems valid for continuous functions, and then we study properties which are specific to Darboux functions. Finally, we give theorems on approximating almost continuous functions by functions with infinite entropy.

引用

页码：227 / 241

页数：15

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