Pointwise versus equal (quasi-normal) convergence via ideals

DOI10.1016/J.JMAA.2014.09.004zbMath1314.40007OpenAlexW1964568523MaRDI QIDQ465194

Marcin Staniszewski, Rafał Filipów

Publication date: 31 October 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.2014.09.004

zbMATH Keywords

idealquasi-normal convergencepointwise convergenceideal convergenceequal convergencebounding number

Mathematics Subject Classification ID

Ideal and statistical convergence (40A35) Summability methods using statistical convergence (40G15)

Related Items (12)

Ideal equal Baire classes ⋮ On ideal equal convergence. II ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Ideal QN-spaces ⋮ On P-like ideals induced by disjoint families ⋮ P-like properties of meager ideals and cardinal invariants ⋮ Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities ⋮ Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ Ideal weak QN-spaces ⋮ Spaces not distinguishing ideal convergences of real-valued functions ⋮ Sequence selection properties in \(C_p(X)\) with the double ideals

Cites Work

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• Three kinds of convergence and the associated \(\mathcal I\)-Baire classes
• Spaces not distinguishing pointwise and quasinormal convergence of real functions
• On ideal equal convergence
• More on cardinal invariants of analytic P-ideals
• The Structure of the Real Line
• Adding Small Sets to an N-Set
• Spaces not distinguishing convergences of real-valued functions.

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