On the weak Freese-Nation property of complete Boolean algebras

DOI10.1016/S0168-0072(01)00023-9zbMath0981.03052arXivmath/9911230WikidataQ127641537 ScholiaQ127641537MaRDI QIDQ5946047

Lajos Soukup, Stefan Geschke, Sakaé Fuchino, Saharon Shelah

Publication date: 21 March 2002

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911230

zbMATH Keywords

consistencyc.c.c. complete Boolean algebraChang's conjectureCohen algebraCohen modelCohen realsGCHrandom algebraweak Freese-Nation property

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Chain conditions, complete algebras (06E10)

Related Items (2)

A Boolean algebra and a Banach space obtained by push-out iteration ⋮ Applications of another characterization of \(\beta{\mathbb N}\setminus{\mathbb N}\)

Cites Work

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• Nearly projective Boolean algebras
• On tightly \(\kappa \)-filtered Boolean algebras.
• Partial orderings with the weak Freese-Nation property
• Combinatorial Cardinal Characteristics of the Continuum
• Splitting Strongly Almost Disjoint Families
• A very weak square principle
• Coloring ordinals by reals
• On the weak Freese-Nation property of \({\mathcal P}(\omega)\)

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