On the ideal convergence of sequences of quasi-continuous functions

Tomasz Natkaniec, and Piotr Szuca. "On the ideal convergence of sequences of quasi-continuous functions." Fundamenta Mathematicae 232.3 (2016): 269-280. <http://eudml.org/doc/283176>.

@article{TomaszNatkaniec2016,
abstract = {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.},
author = {Tomasz Natkaniec, Piotr Szuca},
journal = {Fundamenta Mathematicae},
keywords = {pointwise convergence; quasi-continuous function; ideal convergence; F$\sigma $-ideal; $\omega $-+-diagonalizable filter; weakly Ramsey filter; game; winning strategy},
language = {eng},
number = {3},
pages = {269-280},
title = {On the ideal convergence of sequences of quasi-continuous functions},
url = {http://eudml.org/doc/283176},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Tomasz Natkaniec
AU - Piotr Szuca
TI - On the ideal convergence of sequences of quasi-continuous functions
JO - Fundamenta Mathematicae
PY - 2016
VL - 232
IS - 3
SP - 269
EP - 280
AB - 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.
LA - eng
KW - pointwise convergence; quasi-continuous function; ideal convergence; F$\sigma $-ideal; $\omega $-+-diagonalizable filter; weakly Ramsey filter; game; winning strategy
UR - http://eudml.org/doc/283176
ER -