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Chains and antichains in Boolean algebras

Volume 163 / 2000

M. Losada, S. Todorčević Fundamenta Mathematicae 163 (2000), 55-76 DOI: 10.4064/fm-163-1-55-76

Abstract

We give an affirmative answer to problem DJ from Fremlin's list [8] which asks whether $MA_{ω_1}$ implies that every uncountable Boolean algebra has an uncountable set of pairwise incomparable elements.

Authors

  • M. Losada
  • S. Todorčević

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