Sets of ideal convergence of sequences of quasi-continuous functions

DOI10.1016/j.jmaa.2014.10.029zbMath1321.40004OpenAlexW2040104312MaRDI QIDQ472303

Tomasz Natkaniec, Jolanta Wesołowska

Publication date: 19 November 2014

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.2014.10.029

zbMATH Keywords

quasi-continuous functionsideal convergence\(\omega\)-\(+\)-diagonalizable ideal\(F_{\sigma}\)-ideal\(K\)-generated idealweakly Ramsey ideal

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Real-valued functions in general topology (54C30) Ideal and statistical convergence (40A35)

Related Items (5)

Statistical convergence and measure convergence generated by a single statistical measure ⋮ Points of uniform convergence and quasicontinuity ⋮ On convergence of sequences of functions possessing closed graphs ⋮ A characterization of the uniform convergence points set of some convergent sequence of functions ⋮ Some unpublished Recław theorems and their applications to Baire-star-one functions

Cites Work

• On Lunina's 7-tuples for ideal convergence
• On some questions of Drewnowski and Łuczak concerning submeasures on \(\mathbb N\)
• Convergence and divergence sets of sequences of real continuous functions on a metric space
• On \({\mathcal I}\)-Cauchy sequences
• Quasi-continuity
• On the ideal convergence of sequences of quasi-continuous functions
• О множествах точек сходимости последовательстти непрерывных функций к бесконечности
• Compacts de fonctions mesurables et filtres non mesurables
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• Happy families
• On Sets Determined by Sequences of Quasi-Continuous Functions
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
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