Katětov and Katětov-Blass orders on \(F_\sigma \)-ideals

DOI10.1007/s00153-016-0500-0zbMath1362.03045OpenAlexW2518644328MaRDI QIDQ334988

Hiroshi Sakai, Hiroaki Minami

Publication date: 1 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00153-016-0500-0

zbMATH Keywords

Katětov order\(F_\sigma\)-idealsKatětov-Blass order

Mathematics Subject Classification ID

Cardinal characteristics of the continuum (03E17) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (5)

Every maximal ideal may be Katětov above of all 𝐹_{𝜎} ideals ⋮ Indestructibility of ideals and MAD families ⋮ On Katětov and Katětov-Blass orders on analytic P-ideals and Borel ideals ⋮ On the structure of Borel ideals in-between the ideals \(\mathcal{ED}\) and fin \(\otimes\) fin in the Katětov order ⋮ The ultrafilter and almost disjointness numbers

Cites Work

• Unnamed Item
• Analytic ideals and their applications
• Combinatorial Cardinal Characteristics of the Continuum
• On the combinatorial principle P(c)
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• Zapping Small Filters
• Cardinal Invariants of Analytic P-Ideals

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