Qualitative properties of ideal convergent subsequences and rearrangements

DOI10.1007/s10474-016-0644-8zbMath1399.40010OpenAlexW2514774361MaRDI QIDQ1701366

Szymon Głąb, Marek Balcerzak, Artur Wachowicz

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0644-8

zbMATH Keywords

rearrangementLebesgue measureBaire categoryideal convergencesubsequence

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Baire category, Baire spaces (54E52) Convergence and divergence of series and sequences (40A05) Ideal and statistical convergence (40A35)

Related Items (12)

Thinnable ideals and invariance of cluster points ⋮ Invariance of ideal limit points ⋮ Achievement sets and sum ranges with ideal supports ⋮ The Baire category of ideal convergent subseries and rearrangements ⋮ Another characterization of meager ideals ⋮ Characterizations of ideal cluster points ⋮ The Baire category of subsequences and permutations which preserve limit points ⋮ The Arzelà-Ascoli theorem by means of ideal convergence ⋮ Ideal convergent subseries in Banach spaces ⋮ Limit points of subsequences ⋮ Category theoretical view of I-cluster and I-limit points of subsequences ⋮ Some new insights into ideal convergence and subsequences

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• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• Ideal convergence of bounded sequences
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