On Katětov and Katětov-Blass orders on analytic P-ideals and Borel ideals

DOI10.1007/s00153-017-0572-5OpenAlexW2725120460MaRDI QIDQ1745354

Hiroshi Sakai

Publication date: 17 April 2018

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-017-0572-5

zbMATH Keywords

Katětov orderBorel idealanalytic P-ideal

Mathematics Subject Classification ID

Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (4)

Every maximal ideal may be Katětov above of all 𝐹_{𝜎} ideals ⋮ Indestructibility of ideals and MAD families ⋮ On Pospíšil ideals ⋮ On the structure of Borel ideals in-between the ideals \(\mathcal{ED}\) and fin \(\otimes\) fin in the Katětov order

Cites Work

• Katětov and Katětov-Blass orders on \(F_\sigma \)-ideals
• Analytic ideals and their applications
• Pair-splitting, pair-reaping and cardinal invariants ofFσ-ideals
• Compacts de fonctions mesurables et filtres non mesurables
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
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