\(\ell\)-selection principles for sequences of functions

DOI10.1016/j.jmaa.2012.06.050zbMath1258.40001OpenAlexW1991449252MaRDI QIDQ714084

Nikodem Mrożek, Ireneusz Recław, Rafał Filipów, Piotr Szuca

Publication date: 19 October 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.2012.06.050

zbMATH Keywords

Helly's theoremideal convergenceselection principleArzela-Ascoli theoremBolzano-Weierstrass propertybounded function sequenceMazurkiewicz's theorem

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convergence and divergence of series and sequences of functions (40A30)

Related Items (8)

On Hindman spaces and the Bolzano-Weierstrass property ⋮ Unboring ideals ⋮ A quantitative version of Helly's selection principle in Banach spaces and its applications ⋮ Convergence in van der Waerden and Hindman spaces ⋮ Mad families, P+(I)-ideals and ideal convergence ⋮ New Hindman spaces ⋮ A note on a new ideal ⋮ Gambling in contests with random initial law

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