For any Borel ideal ℐ we describe the ℐ-Baire system generated by the family of quasi-continuous real-valued functions. We characterize the Borel ideals ℐ for which the ideal and ordinary Baire systems coincide.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm99-12-2015,
author = {Tomasz Natkaniec and Piotr Szuca},
title = {On the ideal convergence of sequences of quasi-continuous functions},
journal = {Fundamenta Mathematicae},
volume = {233},
year = {2016},
pages = {269-280},
zbl = {06545386},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm99-12-2015}
}
Tomasz Natkaniec; Piotr Szuca. On the ideal convergence of sequences of quasi-continuous functions. Fundamenta Mathematicae, Tome 233 (2016) pp. 269-280. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm99-12-2015/