More on cardinal invariants of Boolean algebras

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Annals of Pure and Applied Logic 103 (1-3):1-37 (2000)
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Abstract

We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency results. We show in ZFC that . We prove consistency of the statement “there is a Boolean algebra such that ” and we force a superatomic Boolean algebra such that , and . Next we force a superatomic algebra such that and a superatomic algebra such that . Finally we show that consistently there is a Boolean algebra of size λ such that there is no free sequence in of length λ, there is an ultrafilter of tightness λ and

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10.1016/s0168-0072(98)00066-9

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Remarks on superatomic boolean algebras.James E. Baumgartner & Saharon Shelah - 1987 - Annals of Pure and Applied Logic 33 (C):109-129.
Remarks on superatomic Boolean algebras.J. E. Baumgartner - 1987 - Annals of Pure and Applied Logic 33 (2):109.

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