Maharam algebras and Cohen reals

Farah, Ilijas; Veličković, Boban

doi:10.1090/S0002-9939-07-08759-X

Maharam algebras and Cohen reals
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by Ilijas Farah and Boban Veličković

Proc. Amer. Math. Soc. 135 (2007), 2283-2290

DOI: https://doi.org/10.1090/S0002-9939-07-08759-X

Published electronically: February 2, 2007

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Abstract:

We show that the product of any two nonatomic Maharam algebras adds a Cohen real. As a corollary of this and a result of Shelah (1994) we obtain that the product of any two nonatomic ccc Souslin forcing notions adds a Cohen real.

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