On P(m)-ultrafilters on N
A. Kucia (1978)
Colloquium Mathematicae
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A. Kucia (1978)
Colloquium Mathematicae
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Saharon Shelah (2006)
Fundamenta Mathematicae
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We are interested in generalizing part of the theory of ultrafilters on ω to larger cardinals. Here we set the scene for further investigations introducing properties of ultrafilters in strong sense dual to being normal.
Pierre Matet (1988)
Fundamenta Mathematicae
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Mirna Džamonja (2001)
Acta Universitatis Carolinae. Mathematica et Physica
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Aleksandar Jovanović, Aleksandar Perović (2007)
Publications de l'Institut Mathématique
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Menachem Magidor (1978)
Fundamenta Mathematicae
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Aleksandar Jovanović (1978)
Publications de l'Institut Mathématique
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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.