Extendability to summable ideals

DOI10.1007/S10474-017-0704-8zbMath1399.40011OpenAlexW2600348093MaRDI QIDQ1743152

Paweł Klinga, Andrzej Nowik

Publication date: 12 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10474-017-0704-8

zbMATH Keywords

Lévy-Steinitz theoremconditionally convergent seriesRiemann's theoremsummable idealcardinal characteristicvan der Waerden ideal

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Applications of set theory (03E75) Cardinal characteristics of the continuum (03E17) Ideal and statistical convergence (40A35)

Related Items (4)

Characterizing existence of certain ultrafilters ⋮ On some properties of Lévy vectors and their variations ⋮ Ideals of nowhere dense sets in some topologies on positive integers ⋮ Ideal convergent subseries in Banach spaces

Cites Work

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• Series in Banach spaces: conditional and unconditional convergence. Transl. from the Russian by Andrei Iacob
• Rearrangement of conditionally convergent series on a small set
• Arithmetic progressions in lacunary sets
• REPRESENTATIONS OF IDEALS IN POLISH GROUPS AND IN BANACH SPACES
• The Remarkable Theorem of Levy and Steinitz
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• On sets of integers containing k elements in arithmetic progression
• Ideal convergence of bounded sequences

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