Ideal convergence of continuous functions

DOI10.1016/J.TOPOL.2006.03.007zbMath1105.54008OpenAlexW1985887395MaRDI QIDQ860484

Ireneusz Recław, Jakub Jasinski

Publication date: 9 January 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.03.007

zbMATH Keywords

statistical convergenceP-idealszero density ideal

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Consistency and independence results (03E35) Real-valued functions in general topology (54C30)

Related Items (8)

Statistical convergence and measure convergence generated by a single statistical measure ⋮ More on Arhangel’skiĭ sheaf amalgamations ⋮ Ideal QN-spaces ⋮ Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations ⋮ \(\mathcal{I}_{sn}\)-sequential spaces and the images of metric spaces ⋮ A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽−STATISTICAL IDEAL CONVERGENCE ⋮ Unnamed Item ⋮ On topological spaces defined by \(\mathcal{I} \)-convergence

Cites Work

• Analytic ideals and their applications
• \(\mathcal I\)-convergence
• On some properties of Hurewicz, Menger, and Rothberger
• Every Lusin set is undetermined in the point-open game
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Sur la convergence statistique
• Continuous images of sets of reals
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