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Remarks on powers of lattices. (English) Zbl 0635.06004

The following theorem is proved. Assume GCH, let B be an infinite Boolean algebra, \(\bar B\) its completion, and L an upward \(\sigma\)-complete sublattice of \(\bar B\) containing B. Then \(| L|^{\omega}=| L|\).
Reviewer: J.D.Monk

MSC:

06B05 Structure theory of lattices
06E05 Structure theory of Boolean algebras
03E50 Continuum hypothesis and Martin’s axiom
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