A+ CATEGORY SCIENTIFIC UNIT

On the ideal convergence of sequences of quasi-continuous functions

Volume 232 / 2016

Tomasz Natkaniec, Piotr Szuca 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.

Authors

  • Tomasz NatkaniecInstitute of Mathematics
    University of Gdańsk
    Wita Stwosza 57
    80-952 Gdańsk, Poland
    e-mail
  • Piotr SzucaInstitute of Mathematics
    University of Gdańsk
    Wita Stwosza 57
    80-952 Gdańsk, Poland
    e-mail

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