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On the Deductive Strength of Various Distributivity Axioms for Boolean Algebras in Set Theory |
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| Authors: | Yasuo Kanai |
| Abstract: | In this article, we shall show the generalized notions of distributivity of Boolean algebras have essential relations with several axioms and properties of set theory, say the Axiom of Choice, the Axiom of Dependence Choice, the Prime Ideal Theorems, Martin's axioms, Lebesgue measurability and so on. |
| Keywords: | distributivity axiom of choice prime ideal theorem Martin's Axiom |