Mad families, P+(I)-ideals and ideal convergence

DOI10.2298/FIL2009099YzbMath1499.05609OpenAlexW3133940934MaRDI QIDQ5866233

Shuguo Zhang, Jiakui Yu

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2009099y

zbMATH Keywords

Helly propertycardinalityMAD familiesBolzano-Weierstrass property\(P^+(\mathcal{I})\)-ideals

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ramsey theory (05D10) Ideal and statistical convergence (40A35)

Cites Work

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• Three kinds of convergence and the associated \(\mathcal I\)-Baire classes
• \(\ell\)-selection principles for sequences of functions
• Cardinal invariants associated with Fubini product of ideals
• A letter concerning Leonetti's paper `Continuous projections onto ideal convergent sequences'
• Continuous projections onto ideal convergent sequences
• Combinatorial Cardinal Characteristics of the Continuum
• More on cardinal invariants of analytic P-ideals
• Ideal version of Ramsey’s theorem
• On Weakly Tight Families
• On Certain Boolean Algebras P(ω)/I
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• Happy families
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Filter games on ω and the dual ideal
• Almost disjoint refinements and mixing reals
• Ideal convergence of bounded sequences
• Splitting Families and Complete Separability
• Ideal versions of the Bolzano-Weierstrass property

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