Chains and antichains in Boolean algebras

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Abstract

We give an affirmative answer to problem DJ from Fremlin's list ([8]) which asks whether MAw1 implies that every uncountable Boolean algebra has an uncountable set of pairwise incomparable elements.

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Losada, M., & Todorčevic, S. (2000). Chains and antichains in Boolean algebras. Fundamenta Mathematicae, 163(1), 55–76. https://doi.org/10.4064/fm-163-1-55-76

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