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Narrow Boolean algebras. (English) Zbl 0563.03035

Let \(\kappa\) be the cofinality of \(2^{\aleph_ 0}\). There exists a Boolean algebra B of cardinality \(\kappa\) with the property that every subset of B of size \(\kappa\) contains two elements a and b such that \(a<b\). The algebra B is constructed as an interval algebra given by a subset of the real line.
Reviewer: T.Jech

MSC:

03E99 Set theory
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References:

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