The Baire category of ideal convergent subseries and rearrangements

DOI10.1016/j.topol.2017.09.014zbMath1378.54031OpenAlexW2756574123MaRDI QIDQ2411466

Artur Wachowicz, Michał Popławski, Marek Balcerzak

Publication date: 24 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.09.014

zbMATH Keywords

rearrangementBaire categorysubseriesideal convergenceunconditional convergence of series

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) Classical Banach spaces in the general theory (46B25) Convergence and divergence of series and sequences of functions (40A30)

Related Items (6)

Convergent subseries of divergent series ⋮ Another characterization of meager ideals ⋮ Banach spaces of \(\mathcal{I} \)-convergent sequences ⋮ On the structure of Borel ideals in-between the ideals \(\mathcal{ED}\) and fin \(\otimes\) fin in the Katětov order ⋮ Convergent subseries of \(\mathcal{I}\)-convergent series ⋮ Ideal convergent subseries in Banach spaces

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