On the Deductive Strength of Various Distributivity Axioms for Boolean Algebras in Set Theory

DOI<link itemprop=identifier href="https://doi.org/10.1002/1521-3870(200204)48:3<413::AID-MALQ413>3.0.CO;2-C" /><413::AID-MALQ413>3.0.CO;2-C 10.1002/1521-3870(200204)48:3<413::AID-MALQ413>3.0.CO;2-CzbMath0997.03041OpenAlexW2055391003MaRDI QIDQ4530154

Yasuo Kanai

Publication date: 13 November 2002

Full work available at URL: https://doi.org/10.1002/1521-3870(200204)48:3<413::aid-malq413>3.0.co;2-c

zbMATH Keywords

Boolean algebrasLebesgue measurabilityMartin's AxiomAxiom of Choicegeneralized distributivityAxiom of Dependent ChoicePrime Ideal Theorems

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Structure theory of Boolean algebras (06E05) Other set-theoretic hypotheses and axioms (03E65) Axiom of choice and related propositions (03E25)

Related Items (1)

Finiteness conditions and distributive laws for Boolean algebras

Cites Work

• On the role of the Baire Category Theorem and Dependent Choice in the foundations of logic
• On a generalization of distributivity
• Unnamed Item

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