On the entropy of Darboux functions
Volume 116 / 2009
Colloquium Mathematicum 116 (2009), 227-241
MSC: 37B40, 26A18, 54H20, 26A15, 37E15.
DOI: 10.4064/cm116-2-7
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.
