The independence of the axiom of choice from the Boolean prime ideal theorem
J. Halperin (1964)
Fundamenta Mathematicae
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Displaying similar documents to “Axiomatic and algebraic aspects of two theorems on sums of cardinals”
The independence of the axiom of choice from the Boolean prime ideal theorem
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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.
Effectiveness of the representation theory for Boolean algebras
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A proof (involving Martin's axiom) of a partition relation
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M. Stone (1945)
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The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: A new Proof. equivalent propositions.
B. R. Salinas, F. Bombal (1973)
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