On a theorem of Baumgartner and Weese
R. Frankiewicz, Paweł Zbierski (1991)
Fundamenta Mathematicae
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R. Frankiewicz, Paweł Zbierski (1991)
Fundamenta Mathematicae
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Ryszard Frankiewicz (1985)
Fundamenta Mathematicae
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Saharon Shelah (1996)
Fundamenta Mathematicae
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We deal with Boolean algebras and their cardinal functions: π-weight π and π-character πχ. We investigate the spectrum of π-weights of subalgebras of a Boolean algebra B. Next we show that the π-character of an ultraproduct of Boolean algebras may be different from the ultraproduct of the π-characters of the factors.
Eric van Douwen (1981)
Fundamenta Mathematicae
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J. Baumgartner, R. Frankiewicz, P. Zbierski (1990)
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.
Lev Bukovský (1973)
Fundamenta Mathematicae
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Bohuslav Balcar, Petr Simon (1988)
Commentationes Mathematicae Universitatis Carolinae
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J. Baumgartner, A. Hajnal (1973)
Fundamenta Mathematicae
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