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Convergent subseries of \(\mathcal{I}\)-convergent series

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Publication:2038965
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DOI10.1007/S10986-020-09504-7zbMath1477.40005OpenAlexW3118277979MaRDI QIDQ2038965

Martin Sleziak, Jacek Tryba, Ladislav jun. Mišík

Publication date: 7 July 2021

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-020-09504-7


zbMATH Keywords

idealfilterideal convergenceproperty (T)\(\mathcal{I}\)-convergent seriesrapid $P$-pointssemiselective ultrafilters


Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Consistency and independence results (03E35) Ideal and statistical convergence (40A35)





Cites Work

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  • Proper forcing
  • Subseries of \(\mathcal I\)-convergent series
  • \(\mathcal I\)-convergence
  • The Baire category of ideal convergent subseries and rearrangements
  • On the Generic Existence of Special Ultrafilters
  • Remarks on statistical and $I$-convergence of series
  • Convergence of Series on Large Set of Indices
  • There are no Q-Points in Laver's Model for the Borel Conjecture
  • Ideal convergent subseries in Banach spaces




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