Complete Quotient Boolean Algebras

DOI10.2307/2154916zbMath0827.06009arXivmath/9401212OpenAlexW2951707516MaRDI QIDQ4846055

Saharon Shelah, Akihiro Kanamori

Publication date: 13 December 1995

Full work available at URL: https://arxiv.org/abs/math/9401212

zbMATH Keywords

consistencyforcinginner modelmeasurable cardinalquotient Boolean algebracountably complete idealBoolean suprema

Mathematics Subject Classification ID

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

Cites Work

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• Distributivity in Boolean algebras
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Iterated forcing and normal ideals on \(\omega _ 1\)
• A weak generalization of MA to higher cardinals
• Higher Degrees of Distributivity and Completeness in Boolean Algebras
• Saturation Properties of Ideals in Generic Extensions. I
• Some Combinatorial Principles
• Cardinal preserving ideals
• Some applications of iterated ultrapowers in set theory
• On an unsolved problem from the theory of Boolean algebras

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