The Borel complexity of ideal limit points

DOI10.1016/J.TOPOL.2022.108061zbMATH Open1493.40014OpenAlexW4214582154MaRDI QIDQ2131796

Xi He, Hang Zhang, Shuguo Zhang

Publication date: 27 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108061

zbMATH Keywords

Borel idealBorel complexityideal cluster pointsideal limit pointsFarah ideal

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Ideal and statistical convergence (40A35)

Cites Work

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• Some further results on ideal convergence in topological spaces
• Topological representations
• Adding ultrafilters by definable quotients
• Analytic ideals and their applications
• On the relationship between ideal cluster points and ideal limit points
• Ramsey type properties of ideals
• Ideal version of Ramsey’s theorem
• Statistical Limit Points
• $I$ and $I^*$-convergence in topological spaces
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• Luzin gaps
• Set Theory
• Ideals on countable sets: a survey with questions
• Ideal convergence of bounded sequences

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