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Iterations of Boolean algebras with measure

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Abstract

We consider a classM of Boolean algebras with strictly positive, finitely additive measures. It is shown thatM is closed under iterations with finite support and that the forcing via such an algebra does not destroy the Lebesgue measure structure from the ground model. Also, we deduce a simple characterization of Martin's Axiom reduced to the classM.

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  1. Matzapetaki 9, GR-714-09, Heraclion, Greece

    Anastasis Kamburelis

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  1. Anastasis Kamburelis
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Kamburelis, A. Iterations of Boolean algebras with measure. Arch Math Logic 29, 21–28 (1989). https://doi.org/10.1007/BF01630808

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1980 Mathematics Subject Classification (1985 Revision)

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