$\omega $-diagonalizability of $F_\sigma $ filters

DOI10.4064/cm8416-2-2021OpenAlexW4247205909MaRDI QIDQ5066078

Piotr Szuca

Publication date: 29 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8416-2-2021

zbMATH Keywords

\(\omega\)-diagonalizable filter\(F_{\sigma}\) filter\(P^+\) (tree)-filter

Mathematics Subject Classification ID

Descriptive set theory (03E15) Games involving topology, set theory, or logic (91A44) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other combinatorial set theory (03E05)

Cites Work

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• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• Filter games on ω and the dual ideal
• Ideals on countable sets: a survey with questions
• Seven characterizations of non-meager \mathsf P-filters
• Ideal convergence of bounded sequences

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