On the ideal convergence of sequences of quasi-continuous functions

• Autorzy: Tomasz Natkaniec , Piotr Szuca
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 40A30: Convergence and divergence of series and sequences of functions
• 54C30: Real-valued functions
• 54C08: Weak and generalized continuity
• 40A35: Ideal and statistical convergence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 232
• Numer: 3
• Strony: 269-280

Daty

wydano

2016

Twórcy

autor

Tomasz Natkaniec

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Piotr Szuca

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/fm99-12-2015