On a theorem of Baumgartner and Weese
R. Frankiewicz, Paweł Zbierski (1991)
Fundamenta Mathematicae
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Displaying similar documents to “Characterization of generic extensions of models of set theory”
On a theorem of Baumgartner and Weese
Embedding of Boolean algebras in Ρ(ω)/fin
J. Baumgartner, R. Frankiewicz, P. Zbierski (1990)
Fundamenta Mathematicae
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On Monk’s questions
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.
Atoms and Generators in Boolean -Algebras
Lev Bukovský, Martin Gavalec (1972)
Matematický časopis
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Iterated ultrapower and Prikry's forcing
Lev Bukovský (1977)
Commentationes Mathematicae Universitatis Carolinae
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A rigid Boolean algebra that admits the elimination of Q21
H. Mildenberg (1993)
Fundamenta Mathematicae
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Using ♢ , we construct a rigid atomless Boolean algebra that has no uncountable antichain and that admits the elimination of the Malitz quantifier .
Historic forcing for Depth
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.
Some remarks on embeddings of Boolean algebras and topological spaces
Ryszard Frankiewicz (1985)
Fundamenta Mathematicae
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