JOURNAL ARTICLE
Chains and antichains in Boolean algebras
Year: 2000 Journal: Fundamenta Mathematicae Vol: 163 (1)Pages: 55-76 Publisher: Polish Academy of Sciences
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.
Keywords:
Mathematics Stone's representation theorem for Boolean algebras Pure mathematics Combinatorics Discrete mathematics Algebra over a field Two-element Boolean algebra Algebra representation
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FWCI (Field Weighted Citation Impact)
19
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0.06
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Citation History
Topics
Advanced Topology and Set Theory
Physical Sciences → Mathematics → Geometry and Topology
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Advanced Graph Theory Research
Physical Sciences → Computer Science → Computational Theory and Mathematics
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