Three kinds of convergence and the associated \(\mathcal I\)-Baire classes

DOI10.1016/j.jmaa.2012.02.041zbMath1247.26007OpenAlexW1969499197MaRDI QIDQ413213

Rafał Filipów, Piotr Szuca

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.041

zbMATH Keywords

statistical convergencefilter convergencediscrete convergenceideal convergenceanalytic idealBaire classification of functionsBaire one star functionsBorel idealconvergence of sequences of functionsequal convergenceLaflamme gamescatteredly continuous functions

Mathematics Subject Classification ID

Descriptive set theory (03E15) Games involving topology, set theory, or logic (91A44) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Classification of real functions; Baire classification of sets and functions (26A21)

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Cites Work

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• Extensions of discrete and equal Baire functions
• Discrete and equal Baire classes
• Ideal limits of sequences of continuous functions
• Filter descriptive classes of Borel functions
• Some remarks on discrete Baire classes