A Note on Boolean Algebras with Few Partitions Modulo some Filter

Mathematical Logic Quarterly 42 (1):172-174 (1996)
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Abstract

We show that for every uncountable regular κ and every κ-complete Boolean algebra B of density ≤ κ there is a filter F ⊆ B such that the number of partitions of length < modulo κF is ≤2<κ. We apply this to Boolean algebras of the form P/I, where I is a κ-complete κ-dense ideal on X

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10.1002/malq.19960420114

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Dense ideals and cardinal arithmetic.Monroe Eskew - 2016 - Journal of Symbolic Logic 81 (3):789-813.

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