Remarks on chain conditions in products
Stevo Todorčević (1985)
Compositio Mathematica
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Stevo Todorčević (1985)
Compositio Mathematica
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R. C. Solomon (1977)
Czechoslovak Mathematical Journal
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Vera Fischer, Bernhard Irrgang (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Julius Barbanel (1991)
Fundamenta Mathematicae
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W. Comfort, S. Negrepontis (1972)
Fundamenta Mathematicae
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Saharon Shelah (1997)
Fundamenta Mathematicae
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We investigate σ-entangled linear orders and narrowness of Boolean algebras. We show existence of σ-entangled linear orders in many cardinals, and we build Boolean algebras with neither large chains nor large pies. We study the behavior of these notions in ultraproducts.