On the entropy of Darboux functions

Ryszard J. Pawlak

Colloquium Mathematicae (2009)

  • Volume: 116, Issue: 2, page 227-241
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Ryszard J. Pawlak. "On the entropy of Darboux functions." Colloquium Mathematicae 116.2 (2009): 227-241. <http://eudml.org/doc/283766>.

@article{RyszardJ2009,
abstract = {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.},
author = {Ryszard J. Pawlak},
journal = {Colloquium Mathematicae},
keywords = {topological entropy; Darboux function; almost fixed point; almost continuity; periodic point; -horseshoe; turbulent function; -approximation},
language = {eng},
number = {2},
pages = {227-241},
title = {On the entropy of Darboux functions},
url = {http://eudml.org/doc/283766},
volume = {116},
year = {2009},
}

TY - JOUR
AU - Ryszard J. Pawlak
TI - On the entropy of Darboux functions
JO - Colloquium Mathematicae
PY - 2009
VL - 116
IS - 2
SP - 227
EP - 241
AB - 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.
LA - eng
KW - topological entropy; Darboux function; almost fixed point; almost continuity; periodic point; -horseshoe; turbulent function; -approximation
UR - http://eudml.org/doc/283766
ER -

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