Remarks on Boolean algebras

DOI10.1007/BF02483083zbMath0451.06015MaRDI QIDQ1147730

Saharon Shelah

Publication date: 1980

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

consistencyBoolean algebrasultrafiltersk-chain conditionlarge independent subsetsuncountable chainuncountable pie subset

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Structure theory of Boolean algebras (06E05) Chain conditions, complete algebras (06E10)

Related Items (13)

Cardinalities of topologies with small base ⋮ Compactness of Lobe spaces ⋮ BOOLEAN TYPES IN DEPENDENT THEORIES ⋮ Freely generated filters in free Boolean algebras ⋮ Products of regular cardinals and cardinal invariants of products of Boolean algebras ⋮ A note on the Engelking-Karłowicz theorem ⋮ Partial orderings with the weak Freese-Nation property ⋮ Toward classifying unstable theories ⋮ Definable forcing axiom: An alternative to Martin's axiom ⋮ The cardinality of compact spaces satisfying the countable chain condition ⋮ Further cardinal arithmetic ⋮ Independence in Boolean algebras ⋮ Constructions of many complicated uncountable structures and Boolean algebras

Cites Work

• Ramsey type theorems in the plane
• The cohomology of Boolean rings
• Some theorems of set theory and their topological consequences

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