On a theorem of Baumgartner and Weese

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.

Some remarks on embeddings of Boolean algebras and topological spaces

Ryszard Frankiewicz (1985)

Fundamenta Mathematicae

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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 $Q_{1}^{2}$ .

Counterexamples in minimally generated Boolean algebras

Sabine Koppelberg (1988)

Acta Universitatis Carolinae. Mathematica et Physica

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Boolean matrices, subalgebras and automorphisms of complete Boolean algebras

Bohuslav Balcar, Petr Štěpánek (1977)

Fundamenta Mathematicae

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Cardinal functions on compact F-spaces and on weakly countably complete Boolean algebras

Eric van Douwen (1981)

Fundamenta Mathematicae

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