Some recent results on Cohen algebras
Anastasis Kamburelis (2000)
Acta Universitatis Carolinae. Mathematica et Physica
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Anastasis Kamburelis (2000)
Acta Universitatis Carolinae. Mathematica et Physica
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Ryszard Frankiewicz (1985)
Fundamenta Mathematicae
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Shelah, Saharon (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Paul Cohen (1976)
Fundamenta Mathematicae
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R. Frankiewicz, Paweł Zbierski (1991)
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.
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.
Kenneth McAloon (1974)
Fundamenta Mathematicae
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Andrzej Rosłanowski, Saharon Shelah (2001)
Colloquium Mathematicae
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We show that, consistently, for some regular cardinals θ <λ, there exists a Boolean algebra 𝔹 such that |𝔹| = λ⁺ and for every subalgebra 𝔹'⊆ 𝔹 of size λ⁺ we have Depth(𝔹') = θ.