On ideal equal convergence. II

DOI10.1016/J.JMAA.2017.01.031zbMath1388.40004OpenAlexW2572550042MaRDI QIDQ2408620

Marcin Staniszewski

Publication date: 12 October 2017

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.2017.01.031

zbMATH Keywords

quasi-normal convergencefilter convergenceideal convergenceequal convergencebounding number\(P\)-ideal

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Ideal and statistical convergence (40A35)

Related Items (12)

On certain variations of \(\mathcal{I}\)-Hurewicz property ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ The ideal test for the divergence of a series ⋮ Ideal QN-spaces ⋮ On P-like ideals induced by disjoint families ⋮ P-like properties of meager ideals and cardinal invariants ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ Ideal weak QN-spaces ⋮ Spaces not distinguishing ideal convergences of real-valued functions ⋮ Spaces not distinguishing ideal convergences of real-valued functions. II ⋮ The absolutely strongly star-Hurewicz property with respect to an ideal ⋮ An ideal version of the star-C-Hurewicz covering property

Cites Work

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• Three kinds of convergence and the associated \(\mathcal I\)-Baire classes
• \({\mathcal I}^{\mathcal K}\)-convergence
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• Ranks of \(\mathcal F\)-limits of filter sequences
• \(\mathcal I\)-convergence
• On ideal equal convergence
• \(\mathcal I^{\mathcal K}\)-Cauchy functions
• A note on a new ideal
• On the ideal convergence of sequences of quasi-continuous functions
• Ideal quasi-normal convergence and related notions
• More on cardinal invariants of analytic P-ideals
• The Structure of the Real Line
• The Integrability of Certain Functions and Related Summability Methods
• Ideal limits of sequences of continuous functions
• Filter descriptive classes of Borel functions
• Compacts de fonctions mesurables et filtres non mesurables
• Some remarks on discrete Baire classes
• Cardinal Invariants of Analytic P-Ideals
• Sur la convergence statistique

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