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On uncountable Boolean algebras with no uncountable pairwise comparable or incomparable sets of elements

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Publication:1158148
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DOI10.1305/NDJFL/1093883511zbMath0472.03042OpenAlexW2023844735MaRDI QIDQ1158148

Saharon Shelah

Publication date: 1981

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1093883511


zbMATH Keywords

idealcontinuum hypothesisdiamond


Mathematics Subject Classification ID

Consistency and independence results (03E35) Applications of set theory (03E75) Structure theory of Boolean algebras (06E05)


Related Items (10)

Uncountable equilateral sets in Banach spaces of the form \(C(K)\) ⋮ Partial orderings with the weak Freese-Nation property ⋮ Minimally generated Boolean algebras ⋮ Suslin lattices ⋮ On subalgebras of Boolean interval algebras ⋮ Moderate families in Boolean algebras ⋮ EM constructions for a class of generalized quantifiers ⋮ On a problem of Rolewicz about Banach spaces that admit support sets ⋮ Models with second order properties. IV. A general method and eliminating diamonds ⋮ Forcing minimal extensions of Boolean algebras







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