Abstract
It is shown that a function $f : \mathbb{R} to \mathbb{R}$ is Darboux and upper semicontinuous if and only if its maximum with each almost continuous function is almost continuous. This result generalizes an old theorem due to J. Farková.
Citation
Aleksander Maliszewski. "The Maximal Class with Respect to Maximums for the Family of Almost Continuous Functions." Real Anal. Exchange 32 (2) 313 - 318, 2006/2007.
Information