On the ideal convergence of sequences of quasi-continuous functions
Volume 232 / 2016
Fundamenta Mathematicae 232 (2016), 269-280
MSC: Primary 40A35; Secondary 40A30, 54C08, 54C30.
DOI: 10.4064/fm99-12-2015
Published online: 2 December 2015
Abstract
For any Borel ideal $\mathcal {I}$ we describe the $\mathcal {I}$-Baire system generated by the family of quasi-continuous real-valued functions. We characterize the Borel ideals $\mathcal {I}$ for which the ideal and ordinary Baire systems coincide.