On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives
Volume 99 / 2004
Colloquium Mathematicum 99 (2004), 41-50
MSC: 26A21, 54C30, 54C35, 26A24.
DOI: 10.4064/cm99-1-4
Abstract
We investigate the topological structure of the space ${\mathcal D}{\mathcal B}_{1}$ of bounded Darboux Baire 1 functions on $[0,1]$ with the metric of uniform convergence and with the $p^{*}$-topology. We also investigate some properties of the set ${\mit \Delta }$ of bounded derivatives.
